Practice the problems of Math in Focus Grade 4 Workbook Answer Key Chapter 7 Practice 7 Fractions and Decimals to score better marks in the exam.

## Math in Focus Grade 4 Chapter 7 Practice 7 Answer Key Fractions and Decimals

**Write each fraction as a decimal.**

Example

\(\frac{9}{10}\) = __0.9__

Question 1.

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

Answer:

\(\frac{7}{10}\) = 0.7

Explanation:

\(\frac{7}{10}\) = 7 ÷ 10 = 0.7.

Question 2.

\(\frac{3}{100}\) = ____

Answer:

\(\frac{3}{100}\) = 0.03.

Explanation:

\(\frac{3}{100}\) = 3 ÷ 100 = 0.03.

Question 3.

\(\frac{51}{100}\) = ____

Answer:

\(\frac{51}{100}\) = 0.51.

Explanation:

\(\frac{51}{100}\) = 51 ÷ 100 = 0.51.

**Express each fraction as a decimal. Hint: Make the denominator 10 or 100.**

Example

\(\frac{2}{5}\) = \(\frac{4}{10}\)

= 0.4

Question 4.

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

Answer:

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

Explanation:

\(\frac{1}{2}\) = \(\frac{5}{10}\) = 0.5.

Question 5.

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

Answer:

\(\frac{5}{2}\) = 2.5.

Explanation:

\(\frac{5}{2}\) = \(\frac{25}{10}\) = 2.5.

Question 6.

\(\frac{5}{4}\) = ____

Answer:

\(\frac{5}{4}\) = 1.25.

Explanation:

\(\frac{5}{4}\) = \(\frac{125}{100}\) = 1.25.

Question 7.

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

Answer:

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

Explanation:

\(\frac{7}{20}\) = \(\frac{35}{100}\) = 0.35.

Question 8.

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

Answer:

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

Explanation:

\(\frac{2}{25}\) = \(\frac{8}{100}\) = 0.08.

**Write each mixed number as a decimal.**

Question 9.

3\(\frac{5}{10}\) = ____

Answer:

3\(\frac{5}{10}\) = 3.5.

Explanation:

3\(\frac{5}{10}\) = (30 + 5) ÷ 10

= \(\frac{35}{10}\)

= 3.5.

Question 10.

6\(\frac{43}{100}\) = ____

Answer:

6\(\frac{43}{100}\) = 6.43..

Explanation:

6\(\frac{43}{100}\) = (600 + 43) ÷ 100

= \(\frac{643}{100}\)

= 6.43.

Question 11.

8\(\frac{3}{5}\) = ____

Answer:

8\(\frac{3}{5}\) = 8.6.

Explanation:

8\(\frac{3}{5}\) = (40 + 3) ÷ 5

= \(\frac{43}{5}\)

= \(\frac{86}{10}\)

= 8.6.

Question 12.

10\(\frac{3}{20}\) = ____

Answer:

10\(\frac{3}{20}\) = 10.15.

Explanation:

10\(\frac{3}{20}\) = (200 + 3) ÷ 20.

= \(\frac{203}{20}\) = \(\frac{3}{20}\)

= \(\frac{1015}{100}\)

= 10.15.

**Write each decimal as a fraction or mixed number in simplest form.**

Question 13.

0.3

Answer:

0.3 = \(\frac{3}{10}\)

Explanation:

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

Question 14.

0.5

Answer:

0.5 = \(\frac{5}{10}\)

Explanation:

0.5 = \(\frac{5}{10}\)

Question 15.

5.2

Answer:

5.2 = \(\frac{52}{10}\)

Explanation:

5.2 = \(\frac{52}{10}\)

Question 16.

0.25

Answer:

0.25 = \(\frac{25}{100}\)

Explanation:

0.25 = \(\frac{25}{100}\)

Question 17.

4.08

Answer:

4.08 = \(\frac{408}{100}\)

Explanation:

4.08 = \(\frac{408}{100}\)

Question 18.

3.45

Answer:

3.45 = \(\frac{345}{100}\)

Explanation:

3.45 = \(\frac{345}{100}\)