All the solutions provided in **McGraw Hill Math Grade 5 Answer Key PDF Chapter 8 Lesson 7 Use Models to Write Fractions as Decimals** will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 5 Answer Key Chapter 8 Lesson 7 Use Models to Write Fractions as Decimals

You can use models to write fractions as equivalent decimals.

**Draw It**

Use a model to write \(\frac{1}{2}\) as a decimal.

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

2. Shade a model of using the grid.

Shade using the grid.

How many tenths are shaded? five

The model shows five tenths or 0.5

So, \(\frac{1}{2}\) = \(\frac{5}{10}\)

**Helpful Hint**

Multiplying \(\frac{1}{2}\) by \(\frac{5}{5}\) is the same as multiplying \(\frac{1}{2}\) by 1. The result is an equivalent fraction.

**Try It**

**Use a model to write \(\frac{3}{4}\) as a decimal.**

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

\(\frac{3}{4}\) = \(\frac{75}{100}\)

2. Shade a model of using the 10-by-10 grid.

Shade a model of \(\frac{75}{100}\) using the 10-by-10 grid.

How many squares out of the loo are shaded? 75

The model shows seventy five hundredths or 0.75

So, \(\frac{3}{4}\) = \(\frac{75}{100}\)

**Talk About It**

Question 1.

**Mathematical PRACTICE 4 Model Math** In the first activity, how would it change if \(\frac{1}{2}\) was written as a fraction with a denominator of 100? Would the result be the same? Explain.

Answer:

The result will be same

If \(\frac{1}{2}\) was written as a fraction with a denominator of 100 the result will be \(\frac{50}{100}\) that is 0.50 which is same as 0.5

Explanation:

Find equivalent fractions with a denominator of 100.

Since 2 × 50 = 100, multiply 1 × 50 to obtain 50.

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

So, \(\frac{1}{2}\) = \(\frac{50}{100}\) means fifty hundredths, or 0.50.

Question 2.

Do \(\frac{3}{5}\) and 0.6 represent equivalent numbers? Explain.

Answer:

Yes

Explanation:

\(\frac{3}{5}\) is equal to 0.6. We’ve just expressed this as a decimal.

0.6 is the same thing as \(\frac{6}{10}\), which could be rewritten as \(\frac{3}{5}\) or vice versa.

**Practice It**

**Mathematical PRACTICE 5 Use Math Tools Shade each model. Then write each fraction as a decimal.**

Question 3.

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

Answer: 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 4.

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

Answer: 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

Question 5.

\(\frac{2}{5}\) = _____

Answer: 0.4

Explanation:

Find equivalent fractions with a denominator of 10.

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

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

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

Read the decimal as four tenths

Question 6.

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

Answer: 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 7.

\(\frac{7}{10}\) = _____

Answer: 0.7

Explanation:

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

\(\frac{7}{10}\) = seven tenths or 0.7

Question 8.

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

Answer: 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

**Apply It**

Question 9.

Juanita practiced shooting 25 free throws at basketball practice. She made \(\frac{17}{25}\) of the attempts. Write the fraction of attempts made as a decimal. Use models to help you solve.

Answer: The fraction of attempts made is 0.68

Explanation:

Find equivalent fractions with a denominator of 100.

Since 25× 4 = 100, multiply 17 × 4 to obtain 68.

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

So, \(\frac{17}{25}\) = \(\frac{68}{100}\) means sixty eight hundredths, or 0.68.

Read the decimal as sixty eight hundredths

Question 10.

Travis spent 20 minutes getting ready for school in the morning. He spent \(\frac{9}{20}\) of the time eating breakfast. Write this fraction of time as a decimal. Use models to help you solve.

Answer: 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

**Mathematical PRACTICE 2 Use Algebra For Exercises 11-13, refer to the equation \(\frac{2 \times p}{5 \times q}\) = \(\frac{40}{100}\)**

Question 11.

What must be true about p and q if the equation shows equivalent fractions?

Answer:

p and q are both equal to 20.

Explanation:

\(\frac{40}{2}\) = p, so p = 20.

\(\frac{100}{5}\) = q, so q = 20

Question 12.

What property shows that \(\frac{2}{5}\) × 1 = \(\frac{40}{100}\).

Answer:

The property is to multiplying the same constant to both the numerator and denominator i.e. 20

Explanation:

Since we given that

\(\frac{2}{5}\) × 1 = \(\frac{40}{100}\)

There is a property of making equivalent fractions by multiplying the same constant to both numerator and denominator.

\(\frac{2}{5}\) × \(\frac{20}{20}\) = \(\frac{40}{100}\)

So, The property is to multiplying the same constant to both the numerator and denominator i.e. 20

Question 13.

Write the decimal equivalent for \(\frac{2}{5}\) and \(\frac{40}{100}\).

Answer:

The decimal equivalent for \(\frac{2}{5}\) and \(\frac{40}{100}\) 0.4

Explanation:

The decimal for \(\frac{2}{5}\) is 0.4

The decimal for \(\frac{40}{100}\) is 0.40 that is equal to 0.4

**Write About It**

Question 14.

How can I use models to write fractions as decimals?

Answer:

To convert a fraction to a decimal, we divide the numerator. by the denominator.

If we have a mixed number, the whole number stays to the left of the decimal.

Explanation:

Shading different areas could represent equivalent values for both 10ths and 5ths.

Any starting area’s will represent fractions easily and some decimals.

### McGraw Hill My Math Grade 5 Chapter 4 Lesson 7 My Homework Answer Key

**Practice**

**Shade each model. Then write each fraction as a decimal.**

Question 1.

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

Answer: 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 2.

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

Answer: 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

**Problem Solving**

Question 3.

Terrell hit a total of 10 home runs during the baseball season. He hit \(\frac{4}{5}\) of the home runs during the first half of the season. Write the fraction of home runs hit during the first half of the season as a decimal. Draw models to help you solve.

Answer:

Fraction of home runs hit during the first half of the season as a decimal is 0.8

Explanation:

Find equivalent fractions with a denominator of 10.

Since 5 × 2= 10, multiply 4 × 2 to obtain 8.

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

So, \(\frac{4}{5}\) = \(\frac{8}{10}\) means eight tenths, or 0.8.

Read the decimal as eight tenths

Question 4.

**Mathematical PRACTICE 5 Use Math Tools** Bradley and his family drove to visit a museum. They drove \(\frac{9}{25}\) of the way and stopped to get gasoline. Write the fraction of the distance traveled as a decimal. Draw models to help you solve.

Answer:

Distance traveled is 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

Question 5.

Lilly let her friend borrow \(\frac{1}{10}\) of the money in her purse to buy a snack. Write the fraction as a decimal. Draw models to help you solve.

Answer: 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 6.

Jackson was playing chess. Out of all the games he played, he won \(\frac{7}{25}\) of the time. Write this fraction as a decimal. Draw models to help you solve.

Answer: 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 7.

Write the decimal that represents the shaded portion of the model.

Answer:

The decimal that represents the shaded portion of the model is 0.45

Explanation:

The fraction is \(\frac{45}{100}\)

forty five hundredths.