Go through the Math in Focus Grade 5 Workbook Answer Key Chapter 3 Practice 4 Expressing Fractions, Division Expressions, and Mixed Numbers as Decimals to finish your assignments.

## Math in Focus Grade 5 Chapter 3 Practice 4 Answer Key Expressing Fractions, Division Expressions, and Mixed Numbers as Decimals

**Write each fraction as a decimal.**

Example

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

= __0.6__

Question 1.

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

= _____

Answer:

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

= 0.65

Explanation:

Written the fraction as a decimal.

Question 2.

\(\frac{19}{25}\) = ____

= _____

Answer:

\(\frac{19}{25}\) =\(\frac{19}{25}\)

= 0.76

Explanation:

Written the fraction as a decimal.

Question 3.

\(\frac{47}{50}\) = ____

= _____

Answer:

\(\frac{47}{50}\) = \(\frac{47}{50}\)

= 0.94

Explanation:

Written the fraction as a decimal.

**Express each division expression as a mixed number in simplest form and as a decimal.**

Explanation:

Question 4.

7 ÷ 2

Answer:

7 ÷ 2 = \(\frac{6}{2}\) + \(\frac{1}{2}\)

= 3 + \(\frac{1}{2}\)

= 3 + 0.5

= 3.5

Explanation:

Converted division expression into mixed fraction and decimal

Question 5.

9 ÷ 4

Answer:

\(\frac{8}{4}\) + \(\frac{1}{4}\)

= 2 + \(\frac{1}{4}\)

= 2 + 0.25

= 2.25

Explanation:

Converted division expression into mixed fraction and decimal

Question 6.

21 ÷ 5

Answer:

\(\frac{20}{5}\) + \(\frac{1}{5}\)

= 4 + \(\frac{1}{5}\)

= 4 + 0.2

= 4.2

Explanation:

Converted division expression into mixed fraction and decimal

Question 7.

101 ÷ 25

Answer:

\(\frac{100}{25}\) + \(\frac{1}{25}\)

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

= 4 + 0.04

= 4.04

Explanation:

Converted division expression into mixed fraction and decimal

**Express each improper fraction as a decimal.**

Example

\(\frac{3}{2}\) = \(\frac{2}{2}\) + \(\frac{1}{2}\)

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

= 1 + 0.5

= 1.5

Explanation:

Converted each improper fraction into decimal

Question 8.

\(\frac{22}{5}\)

Answer:

\(\frac{20}{5}\) + \(\frac{2}{5}\)

= 4 + \(\frac{2}{5}\)

= 4 + 0.4

= 4.4

Explanation:

Converted each improper fraction into decimal

Question 9.

\(\frac{47}{20}\)

Answer:

\(\frac{40}{20}\) + \(\frac{7}{20}\)

= 2 + \(\frac{7}{20}\)

= 2 + 0.35

= 2.35

Explanation:

Converted each improper fraction into decimal

Question 10.

\(\frac{32}{25}\)

Answer:

\(\frac{25}{25}\) + \(\frac{7}{25}\)

= 1 + \(\frac{7}{25}\)

= 1 + 0.28

= 1.28

Explanation:

Converted each improper fraction into decimal

**Solve. Show your work.**

Question 11.

A coil of rope 603 feet long is cut into 25 equal pieces. What is the length of each piece? Express your answer as a mixed number and as a decimal.

Answer:

24.12 in decimal

24\(\frac{3}{25}\) in mixed fraction.

Explanation:

A coil of rope 603 feet long is cut into 25 equal pieces.

603 ÷ 25 = \(\frac{600}{25}\) + \(\frac{3}{25}\)

= 24 + \(\frac{3}{25}\)

= 24\(\frac{3}{25}\)

= 24 + 0.12

= 24 .12

24.12 is the length of each piece