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

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.
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.

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, $$\frac{1}{5}$$ = ____ 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, $$\frac{11}{25}$$ = ____
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.
$$\frac{8}{10}$$ = ____
$$\frac{8}{10}$$ = 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.
$$\frac{1}{20}$$ = ____
$$\frac{1}{20}$$ = 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.
$$\frac{17}{20}$$ = ____
$$\frac{17}{20}$$ = 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.
$$\frac{4}{25}$$ = ____
$$\frac{4}{25}$$ = 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.
$$\frac{1}{10}$$ = ____
$$\frac{1}{10}$$ = 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.
$$\frac{8}{25}$$ = ____
$$\frac{8}{25}$$  = 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.
$$\frac{14}{25}$$ = ____
$$\frac{14}{25}$$ = 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.
$$\frac{1}{4}$$ = ____
$$\frac{1}{4}$$ = 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.
$$\frac{7}{20}$$ = ____
$$\frac{7}{20}$$ = 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.
$$\frac{1}{25}$$ = ____
$$\frac{1}{25}$$ = 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.
$$\frac{9}{10}$$ = ____
$$\frac{9}{10}$$ = 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.
$$\frac{9}{25}$$ = ____
$$\frac{9}{25}$$ = 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 = ____
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 = ____
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 = ____
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.
$$\frac{23}{50}$$ = 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.
$$\frac{2}{25}$$ = 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.
$$\frac{19}{20}$$ = 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. $$\frac{18}{25}$$ = 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?
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.
$$\frac{1}{2}$$ = _____
$$\frac{1}{2}$$ = 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.
$$\frac{11}{20}$$ = _____
$$\frac{11}{20}$$ = 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.
$$\frac{13}{20}$$ = _____
$$\frac{13}{20}$$ = 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.
$$\frac{6}{10}$$ = _____
$$\frac{6}{10}$$ = 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.
$$\frac{13}{25}$$ = _____
$$\frac{13}{25}$$ = 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.
$$\frac{14}{20}$$ = _____
$$\frac{14}{20}$$ = 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.
$$\frac{3}{5}$$ = 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.
$$\frac{9}{20}$$ = 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.
$$\frac{12}{25}$$ = 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.
$$\frac{7}{25}$$ = 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.
$$\frac{3}{20}$$ = 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
The simplest form of $$\frac{9}{12}$$ is $$\frac{3}{4}$$
So, $$\frac{3}{4}$$ = $$\frac{75}{100}$$ means seventy five hundredths, or 0.75.