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

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.
How many tenths are shaded? five
The model shows five tenths or 0.5

So, $$\frac{1}{2}$$ = $$\frac{5}{10}$$

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, $$\frac{3}{4}$$ = $$\frac{75}{100}$$

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.
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.
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.
$$\frac{1}{4}$$ = _____

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.
$$\frac{3}{20}$$ = _____

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.
$$\frac{2}{5}$$ = _____

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.
$$\frac{3}{5}$$ = _____

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.
$$\frac{7}{10}$$ = _____

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.
$$\frac{8}{25}$$ = _____

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.

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.

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?
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 = $$\frac{40}{100}$$.
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 $$\frac{40}{100}$$.
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

Question 14.
How can I use models to write fractions as decimals?
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.
$$\frac{9}{10}$$ = _____

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.
$$\frac{11}{20}$$ = _____

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.

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.
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.

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.

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.

The fraction is $$\frac{45}{100}$$