Practice the problems of Math in Focus Grade 4 Workbook Answer Key Chapter 6 Practice 5 Renaming Improper Fractions and Mixed Numbers to score better marks in the exam.

## Math in Focus Grade 4 Chapter 6 Practice 5 Answer Key Renaming Improper Fractions and Mixed Numbers

**Express each improper fraction as a mixed number.**

Example

Question 1.

Answer:

Explanation:

\(\frac{12}{7}\) = \(\frac{7}{7}\) + \(\frac{5}{7}\)

= 1 + \(\frac{5}{7}\)

= 1\(\frac{5}{7}\)

Question 2.

Answer:

Explanation:

\(\frac{9}{4}\) = \(\frac{8}{4}\) + \(\frac{1}{4}\)

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

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

Question 3.

Answer:

Explanation:

\(\frac{13}{6}\) = \(\frac{12}{6}\) + \(\frac{1}{6}\)

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

= 2\(\frac{1}{6}\)

**Express each improper fraction as a whole number or a mixed number in simplest form. Show your work.**

Question 4.

\(\frac{17}{4}\) = ____

Answer:

\(\frac{17}{4}\) = 4\(\frac{1}{4}\)

Explanation:

\(\frac{17}{4}\) = 4\(\frac{1}{4}\) {[(4 × 4) + 1] ÷ 4}

Question 5.

\(\frac{29}{6}\) = ____

Answer:

\(\frac{29}{6}\) = 4\(\frac{5}{6}\)

Explanation:

\(\frac{29}{6}\) = 4\(\frac{5}{6}\) {[(4 × 6) + 5] ÷ 6}

**Express each improper fraction as a whole number or a mixed number in simplest form. Show your work.**

Question 6.

Answer:

Explanation:

\(\frac{9}{6}\) = \(\frac{6}{6}\) + \(\frac{7}{6}\)

= 1 + \(\frac{3}{6}\)

= 1 \(\frac{3}{6}\)

Question 7.

\(\frac{12}{4}\) = ____

Answer:

\(\frac{12}{4}\) = 3.

Explanation:

\(\frac{12}{4}\) = \(\frac{3}{4}\) + \(\frac{9}{4}\)

= (3 + 9) ÷ 4

= 12 ÷ 4

= 3.

Question 8.

\(\frac{21}{3}\) = ____

Answer:

\(\frac{21}{3}\) = 7.

Explanation:

\(\frac{21}{3}\) = \(\frac{17}{3}\) + \(\frac{4}{3}\)

= (17 + 4) ÷ 3

= 21 ÷ 3

= 7.

Question 9.

Answer:

Explanation:

\(\frac{14}{4}\) = 2 + \(\frac{2}{4}\)

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

Question 10.

Answer:

Explanation:

\(\frac{15}{6}\) = 2 + \(\frac{3}{6}\)

= 2 \(\frac{3}{6}\)

**Express each mixed number as an improper fraction.**

Example

Question 11.

Answer:

Explanation:

3\(\frac{5}{9}\) = 3 + \(\frac{5}{9}\)

= \(\frac{27}{9}\) + \(\frac{5}{9}\)

= \(\frac{32}{9}\)

Question 12.

Answer:

Explanation:

2\(\frac{5}{8}\) = 2 + \(\frac{5}{8}\)

= \(\frac{16}{8}\) + \(\frac{5}{8}\)

= \(\frac{21}{8}\)

Question 13.

Answer:

Explanation:

4\(\frac{2}{7}\) = 4 + \(\frac{2}{7}\)

= \(\frac{28}{7}\) + \(\frac{2}{7}\)

= \(\frac{30}{7}\)

**Express each mixed number as an improper fraction.**

Example

Question 14.

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

Answer:

2\(\frac{3}{8}\) = 19 ÷ 8 or \(\frac{19}{8}\)

Explanation:

2\(\frac{3}{8}\) = (16 + 3) ÷ 8 (2 × 8 = 16)

= 19 ÷ 8 or \(\frac{19}{8}\)

Question 15.

3\(\frac{3}{4}\) = ____

Answer:

3\(\frac{3}{4}\) = 15 ÷ 4 or \(\frac{15}{4}\)

Explanation:

3\(\frac{3}{4}\) = (12 + 3) ÷ 4

= 15 ÷ 4 or \(\frac{15}{4}\)

Question 16

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

Answer:

6\(\frac{2}{5}\) = 32 ÷ 5 or \(\frac{32}{5}\)

Explanation:

6\(\frac{2}{5}\) = (30 + 2) ÷ 5 (6 × 5 = 30)

= 32 ÷ 5 or \(\frac{32}{5}\)

Question 17.

2\(\frac{4}{7}\) = ____

Answer:

2\(\frac{4}{7}\) = 18 ÷ 7 or \(\frac{18}{7}\)

Explanation:

2\(\frac{4}{7}\) = (14 + 4) ÷ 7 (2 × 7 = 14)

= 18 ÷ 7 or \(\frac{18}{7}\)

**Express each mixed number as an improper fraction and each improper fraction as a mixed or whole number. Then solve the riddle.**

Question 18.

Answer:

Explanation:

\(\frac{9}{7}\) = 1 + \(\frac{2}{7}\)

= 1 \(\frac{2}{7}\)

Question 19.

Answer:

Explanation:

\(\frac{15}{6}\) = 2 + \(\frac{3}{6}\)

= 2\(\frac{3}{6}\)

Question 20.

Answer:

Explanation:

3\(\frac{5}{8}\) = \(\frac{24}{8}\) + \(\frac{5}{8}\)

= (24 + 5) ÷ 8

= \(\frac{29}{8}\) or 29 ÷ 8.

Question 21.

Answer:

Explanation:

5\(\frac{3}{5}\) = \(\frac{25}{5}\) + \(\frac{3}{5}\)

= (25 + 3) ÷ 5

= \(\frac{28}{5}\) or 28 ÷ 5.

Which two animals can look behind without turning their heads? Write the letters which match the answers to find out.

Answer:

Explanation:

2 = a.

\(\frac{16}{7}\) = i.

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