All the solutions provided in **McGraw Hill Math Grade 5 Answer Key PDF Chapter 8 Lesson 8 Write Fractions as Decimals** will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 5 Answer Key Chapter 8 Lesson 8 Write Fractions as Decimals

**Math in My World**

Example 1

The average weight of a tennis racquet is \(\frac{2}{5}\) pound. Write this weight as a decimal.

Write \(\frac{2}{5}\) as a decimal.

1. Write \(\frac{2}{5}\) as an equivalent fraction with a denominator of 10.

Since 5 × 2 = 10, multiply 2 × 2 to obtain 4.

2. Write the fraction with a denominator of 10 as a decimal. 2

\(\frac{2}{5}\) = ____ \(\frac{4}{10}\) means four tenths, or 0.4.

You can use a place-value chart to read the decimal.

Read the decimal. It reads four tenths

The average weight of a tennis racquet is 0.4 pound.

Example 2.

1. Write \(\frac{3}{4}\) as an equivalent fraction with a denominator of 100.

**Helpful Hint**

Multiplying the numerator and 8 denominator by the same number is the same as multiplying the fraction by 1. The result is an equivalent fraction.

Since 4 × 25 = 100, multiply 3 × 25 to obtain 75.

2. Write the fraction with a denominator of 100 as a decimal.

\(\frac{3}{4}\) = \(\frac{75}{100}\) means seventy-five hundredths, or 0.75.

Read the decimal as seventy-five hundredths

**Guided Practice**

Question 1.

Write \(\frac{1}{5}\) as a decimal.

So, \(\frac{1}{5}\) = ____

Read the decimal as _____

Answer:

Explanation:

Since 5 × 2 = 10, multiply 1 × 2 to obtain 2.

Write the fraction with a denominator of 10 as a decimal.

\(\frac{3}{4}\) = \(\frac{75}{100}\) means seventy-five hundredths, or 0.75.

Read the decimal as seventy-five hundredths

**Talk Math**

Explain how to write a fraction as a decimal using equivalent fractions.

Question 2.

Write \(\frac{11}{25}\) as a decimal.

So, \(\frac{11}{25}\) = ____

Read the decimal as _____

Answer:

Explanation:

Since 25 × 4 = 100, multiply 11 × 4 to obtain 44.

Write the fraction with a denominator of 100 as a decimal.

So, \(\frac{11}{25}\) = \(\frac{44}{100}\) means Forty four hundredths, or 0.44.

Read the decimal as Forty four hundredths

**Independent Practice**

**Write each fraction as a decimal.**

Question 3.

\(\frac{8}{10}\) = ____

Answer:

\(\frac{8}{10}\) = 0.8

Explanation:

Since it is the fraction with denominator 10 we can make it to decimal.

\(\frac{8}{10}\) = eight tenths or 0.8

Question 4.

\(\frac{1}{20}\) = ____

Answer:

\(\frac{1}{20}\) = 0.05

Explanation:

Find equivalent fractions with a denominator of 100.

Since 20 × 5 = 100, multiply 1 × 5 to obtain 5.

Write the fraction with a denominator of 100 as a decimal.

So, \(\frac{1}{20}\) = \(\frac{5}{100}\) means five hundredths, or 0.05.

Read the decimal as five hundredths

Question 5.

\(\frac{17}{20}\) = ____

Answer:

\(\frac{17}{20}\) = 0.85

Explanation:

Find equivalent fractions with a denominator of 100.

Since 20 × 5 = 100, multiply 17 × 5 to obtain 85.

Write the fraction with a denominator of 100 as a decimal.

So, \(\frac{17}{20}\) = \(\frac{85}{100}\) means eighty five hundredths, or 0.85.

Read the decimal as eighty five hundredths

Question 6.

\(\frac{4}{25}\) = ____

Answer:

\(\frac{4}{25}\) = 0.16

Explanation:

Find equivalent fractions with a denominator of 100.

Since 25 × 4 = 100, multiply 4 × 4 to obtain 16.

Write the fraction with a denominator of 100 as a decimal.

So, \(\frac{4}{25}\) = \(\frac{16}{100}\) means sixteen hundredths, or 0.16.

Read the decimal as sixteen hundredths

Question 7.

\(\frac{1}{10}\) = ____

Answer:

\(\frac{1}{10}\) = 0.1

Explanation:

Since it is the fraction with denominator 10 we can make it to decimal.

\(\frac{1}{10}\) = one tenths or 0.1

Question 8.

\(\frac{8}{25}\) = ____

Answer:

\(\frac{8}{25}\) = 0.32

Explanation:

Find equivalent fractions with a denominator of 100.

Since 25 × 4 = 100, multiply 8 × 4 to obtain 32.

Write the fraction with a denominator of 100 as a decimal.

So, \(\frac{8}{25}\) = \(\frac{32}{100}\) means thirty two hundredths, or 0.32.

Read the decimal as thirty two hundredths

Question 9.

\(\frac{14}{25}\) = ____

Answer:

\(\frac{14}{25}\) = 0.56

Explanation:

Find equivalent fractions with a denominator of 100.

Since 25 × 4 = 100, multiply 14× 4 to obtain 56.

Write the fraction with a denominator of 100 as a decimal.

So, \(\frac{14}{25}\) = \(\frac{56}{100}\) means fifty six hundredths, or 0.56.

Read the decimal as fifty six hundredths

Question 10.

\(\frac{1}{4}\) = ____

Answer:

\(\frac{1}{4}\) = 0.25

Explanation:

Find equivalent fractions with a denominator of 100.

Since 4× 25= 100, multiply 1× 25 to obtain 25.

Write the fraction with a denominator of 100 as a decimal.

So,\(\frac{1}{4}\) = \(\frac{25}{100}\) means twenty five hundredths, or 0.25.

Read the decimal as twenty five hundredths

Question 11.

\(\frac{7}{20}\) = ____

Answer:

\(\frac{7}{20}\) = 0.35

Explanation:

Find equivalent fractions with a denominator of 100.

Since 20× 5= 100, multiply 7× 5 to obtain 35.

Write the fraction with a denominator of 100 as a decimal.

So, \(\frac{7}{20}\) = \(\frac{35}{100}\) means thirty five hundredths, or 0.35.

Read the decimal as thirty five hundredths

Question 12.

\(\frac{1}{25}\) = ____

Answer:

\(\frac{1}{25}\) = 0.04

Explanation:

Find equivalent fractions with a denominator of 100.

Since 25 × 4= 100, multiply 1× 4 to obtain 4.

Write the fraction with a denominator of 100 as a decimal.

So, \(\frac{1}{25}\) = \(\frac{4}{100}\) means four hundredths, or 0.04.

Read the decimal as four hundredths

Question 13.

\(\frac{9}{10}\) = ____

Answer:

\(\frac{9}{10}\) = 0.9

Explanation:

Since it is the fraction with denominator 10 we can make it to decimal.

\(\frac{9}{10}\) = nine tenths or 0.9

Question 14.

\(\frac{9}{25}\) = ____

Answer:

\(\frac{9}{25}\) = 0.36

Explanation:

Find equivalent fractions with a denominator of 100.

Since 25 × 4= 100, multiply 9 × 4 to obtain 36.

Write the fraction with a denominator of 100 as a decimal.

So, \(\frac{9}{25}\) = \(\frac{36}{100}\) means thirty six hundredths, or 0.36.

Read the decimal as thirty six hundredths

**Algebra Find each unknown.**

Question 15.

\(\frac{g}{20}\) = 0.65

g = ____

Answer:

13

Explanation:

\(\frac{g}{20}\) = 0.65

Multiply all terms by the same value to eliminate fraction denominators

20 × \(\frac{g}{20}\) = 20 × 0.65

Cancel multiplied terms that are in the denominator

g = 20 × 0.65

Multiply the numbers

g = 13

Question 16.

0.7 = \(\frac{7}{w}\)

w = ____

Answer:

w = 10

Explanation:

w × 0.7 = 7

0.7w = 7

\(\frac{0.7w}{0.7}\) = \(\frac{7}{0.7}\)

w = \(\frac{7}{0.7}\)

w = 10

Question 17.

\(\frac{n}{50}\) = 0.18

n = ____

Answer:

n = 9

Multiply all terms by the same value to eliminate fraction denominators

\(\frac{n}{50}\) = 0.18

50 × \(\frac{n}{50}\) = 50 × 0.18

Cancel multiplied terms that are in the denominator

n = 50 × 0.18

Multiply the numbers

n = 9

**Problem Solving**

Question 18.

The smallest known female spider is \(\frac{23}{50}\) millimeter long. The smallest male spider is \(\frac{37}{100}\) millimeter long. Write each fraction as a decimal.

Answer:

\(\frac{23}{50}\) = 0.46

\(\frac{37}{100}\) = 0.46

Explanation:

Female spider is \(\frac{23}{50}\) millimeter long

Find equivalent fractions with a denominator of 100.

Since 50 × 2 = 100, multiply 23 × 2 to obtain 46.

Write the fraction with a denominator of 100 as a decimal.

So, \(\frac{23}{50}\) = \(\frac{46}{100}\) means forty six hundredths, or 0.46.

Read the decimal as forty six hundredths

Smallest male spider is \(\frac{37}{100}\) millimeter long

Since it is the fraction with denominator 100 we can make it to decimal.

\(\frac{37}{100}\) = thirty seven hundredths or 0.46

Question 19.

**Mathematical PRACTICE 4 Model Math** Evan drank \(\frac{2}{25}\) gallon of water throughout the day. Write \(\frac{2}{25}\) as a decimal.

Answer:

\(\frac{2}{25}\) = 0.08

Explanation:

Find equivalent fractions with a denominator of 100.

Since 25 × 4= 100, multiply 2 × 4 to obtain 8.

Write the fraction with a denominator of 100 as a decimal.

So, \(\frac{2}{25}\)= \(\frac{8}{100}\) means eight hundredths, or 0.08.

Read the decimal as eight hundredths

Question 20.

At hockey practice, Savannah spent \(\frac{19}{20}\) hour practicing passing. Write \(\frac{19}{20}\) as a decimal.

Answer:

\(\frac{19}{20}\) = 0.95

Explanation:

Find equivalent fractions with a denominator of 100.

Since 20× 5= 100, multiply 19 × 5 to obtain 95.

Write the fraction with a denominator of 100 as a decimal.

So, \(\frac{19}{20}\) = \(\frac{95}{100}\) means ninety five hundredths, or 0.95.

Read the decimal as ninety five hundredths

**HOT Problems**

Question 21.

**Mathematical PRACTICE 3 Find the Error** Juliana wrote the steps below to write the fraction \(\frac{18}{25}\) as a decimal. Find her error and correct it.

Answer:

\(\frac{18}{25}\) = 0.72

Error is Juliana should multiply 4 to numerator. She multiplied 2.

Explanation:

Find equivalent fractions with a denominator of 100.

Since 25× 4= 100, multiply 18 × 4 to obtain 72.

Write the fraction with a denominator of 100 as a decimal.

So, \(\frac{18}{25}\) = \(\frac{72}{100}\) means seventy two hundredths, or 0.72.

Read the decimal as seventy two hundredths

Question 22.

**? Building on the Essential Question** What is the relationship between fractions and decimals?

Answer:

Both fractions and decimals are just two ways to represent numbers.

Fractions are written in the form of p/q, where q≠0, while in decimals, the whole number part and fractional part are connected through a decimal point, for example, 0.5.

Fractions and decimals represent the relationship of part by whole.

### McGraw Hill My Math Grade 5 Chapter 4 Lesson 8 My Homework Answer Key

**Practice**

**Write each fraction as a decimal**

Question 1.

\(\frac{1}{2}\) = _____

Answer:

\(\frac{1}{2}\) = 0.5

Explanation:

Find equivalent fractions with a denominator of 10.

Since 2 × 5= 10, multiply 1 × 5 to obtain 5.

Write the fraction with a denominator of 10 as a decimal.

So, \(\frac{1}{2}\) = \(\frac{5}{10}\) means five tenths, or 0.5.

Read the decimal as five tenths

Question 2.

\(\frac{11}{20}\) = _____

Answer:

\(\frac{11}{20}\) = 0.55

Explanation:

Find equivalent fractions with a denominator of 100.

Since 20 × 5= 100, multiply 11 × 5 to obtain 55.

Write the fraction with a denominator of 100 as a decimal.

So, \(\frac{11}{20}\) = \(\frac{55}{100}\) means fifty five hundredths, or 0.55.

Read the decimal as fifty five hundredths

Question 3.

\(\frac{13}{20}\) = _____

Answer:

\(\frac{13}{20}\) = 0.65

Explanation:

Find equivalent fractions with a denominator of 100.

Since 20 × 5= 100, multiply 13 × 5 to obtain 65.

Write the fraction with a denominator of 100 as a decimal.

So, \(\frac{13}{20}\) = \(\frac{65}{100}\) means sixty five hundredths, or 0.65.

Read the decimal as sixty five hundredths

Question 4.

\(\frac{6}{10}\) = _____

Answer:

\(\frac{6}{10}\) = 0.6

Explanation:

Since it is the fraction with denominator 10 we can make it to decimal.

\(\frac{6}{10}\) = six tenths or 0.6

Question 5.

\(\frac{13}{25}\) = _____

Answer:

\(\frac{13}{25}\) = 0.52

Explanation:

Find equivalent fractions with a denominator of 100.

Since 25 × 4= 100, multiply 13 × 4 to obtain 52.

Write the fraction with a denominator of 100 as a decimal.

So, \(\frac{13}{25}\) = \(\frac{52}{100}\) means fifty two hundredths, or 0.52.

Read the decimal as fifty two hundredths

Question 6.

\(\frac{14}{20}\) = _____

Answer:

\(\frac{14}{20}\) = 0.70

Explanation:

Find equivalent fractions with a denominator of 100.

Since 20 × 5= 100, multiply 14 × 5 to obtain 70.

Write the fraction with a denominator of 100 as a decimal.

So, \(\frac{14}{20}\) = \(\frac{70}{100}\) means seventy hundredths, or 0.70.

Read the decimal as seventy hundredths

**Problem Solving**

Question 7.

Courtney hit the bullseye \(\frac{3}{5}\) of the time when playing darts. Write \(\frac{3}{5}\) as a decimal.

Answer:

\(\frac{3}{5}\) = 0.6

Explanation:

Find equivalent fractions with a denominator of 10.

Since 5 × 2= 10, multiply 3 × 2 to obtain 6.

Write the fraction with a denominator of 10 as a decimal.

So, \(\frac{3}{5}\) = \(\frac{6}{10}\) means six tenths, or 0.6.

Read the decimal as six tenths

Question 8.

**Mathematical PRACTICE 2 Use Number Sense** Yesterday, it rained \(\frac{9}{20}\) inch. Write \(\frac{9}{20}\) as a decimal.

Answer:

\(\frac{9}{20}\) = 0.45

Explanation:

Find equivalent fractions with a denominator of 100.

Since 20 × 5= 100, multiply 9 × 5 to obtain 45.

Write the fraction with a denominator of 100 as a decimal.

So, \(\frac{9}{20}\) = \(\frac{45}{100}\) means forty five hundredths, or 0.45.

Read the decimal as forty five hundredths

Question 9.

Camille shaded \(\frac{12}{25}\) of a model. Write the decimal that represents the shaded portion of the model.

Answer:

\(\frac{12}{25}\) = 0.48

Explanation:

Find equivalent fractions with a denominator of 100.

Since 25 × 4= 100, multiply 12 × 4 to obtain 48.

Write the fraction with a denominator of 100 as a decimal.

So, \(\frac{12}{25}\) = \(\frac{48}{100}\) means forty eight hundredths, or 0.48.

Read the decimal as forty eight hundredths

Question 10.

Paolo built a model car that is \(\frac{7}{25}\) the size of his dad’s car. Write \(\frac{7}{25}\) as a decimal.

Answer:

\(\frac{7}{25}\) = 0.28

Explanation:

Find equivalent fractions with a denominator of 100.

Since 25 × 4= 100, multiply 7× 4 to obtain 28.

Write the fraction with a denominator of 100 as a decimal.

So,\(\frac{7}{25}\) = \(\frac{28}{100}\) means twenty eight hundredths, or 0.28.

Read the decimal as twenty eight hundredths

Question 11.

Bishon sold \(\frac{3}{20}\) of his collection of sports cards. Write \(\frac{3}{20}\) as a decimal.

Answer:

\(\frac{3}{20}\) = 0.15

Explanation:

Find equivalent fractions with a denominator of 100.

Since 20 × 5= 100, multiply 3 × 5 to obtain 15.

Write the fraction with a denominator of 100 as a decimal.

So, \(\frac{3}{20}\) = \(\frac{15}{100}\) means fifteen hundredths, or 0.15.

Read the decimal as fifteen hundredths

**Test Practice**

Question 12.

Emilia bought \(\frac{9}{12}\) pound of sliced salami at the deli counter. Which of the following decimals did the scale show?

A. 0.25 pound

B. 0.34 pound

C. 0.7 pound

D. 0.75 pound

Answer:

D

Explanation:

The simplest form of \(\frac{9}{12}\) is \(\frac{3}{4}\)

Find equivalent fractions with a denominator of 100.

Since 4 × 25= 100, multiply 3 × 25 to obtain 75.

Write the fraction with a denominator of 100 as a decimal.

So, \(\frac{3}{4}\) = \(\frac{75}{100}\) means seventy five hundredths, or 0.75.

Read the decimal as seventy five hundredths