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

## Math in Focus Grade 4 Chapter 6 Practice 4 Answer Key Improper Fractions

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

Example

Question 1.

Answer:

Explanation:

2 = 8 fourths.

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

2\(\frac{3}{4}\) = 11 fourths.

Question 2.

Answer:

Explanation:

3 = 15 fifths.

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

3\(\frac{2}{5}\) = 17 fifths.

**Write the improper fractions for the shaded parts
**Question 3.

Answer:

Explanation:

1 = 6 sixths.

Shaded parts = 7 sixths.

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

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

Question 4.

Answer:

Explanation:

1 = 8 eighths.

Shaded parts = 19 eighths.

= 2 + \(\frac{3}{8}\) = 2\(\frac{3}{8}\) .

Question 5.

Answer:

Explanation:

1 = 6 sixths.

Shaded parts = 17 sixths.

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

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

**Write the improper fraction for the shaded parts.**

Question 6.

Answer:

Explanation:

3\(\frac{3}{5}\) = (15 + 3) ÷ 5

= \(\frac{18}{5}\)

**Write a mixed number and an improper fraction for each model.
**Example

Question 7.

Answer:

Explanation:

Mixed number = 2 + \(\frac{3}{5}\)

= 2\(\frac{3}{5}\).

Improper fraction = 1 + 1 + \(\frac{3}{5}\)

= 2 + \(\frac{3}{5}\)

= (10 + 3) ÷ 5

= \(\frac{13}{5}\) or 13 ÷ 5.

Question 8.

Answer:

Explanation:

Mixed number = 1 + \(\frac{3}{5}\)

= 1\(\frac{3}{5}\).

Improper fraction = 1 + \(\frac{3}{5}\)

= (5 + 3) ÷ 5

= \(\frac{8}{5}\) or 8 ÷ 5.

**Write a mixed number and an improper fraction for each model.
**Question 9.

Answer:

Explanation:

Mixed number = 1 + 1 + 1 + 1 + \(\frac{1}{4}\)

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

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

Improper fraction = 1 + 1 + 1 + 1 + \(\frac{1}{4}\)

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

= (16 + 1) ÷ 4

= \(\frac{17}{4}\) or 17 ÷ 4.

**Write the missing improper fraction in each box. Express the answers in simplest form.
**Question 10.

Answer:

Explanation:

\(\frac{3}{2}\) – 1 = (3 – 2) ÷ 2

= 1 ÷ 2 or \(\frac{1}{2}\)

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

= (3 + 1) ÷ 2

= 4 ÷ 2 or \(\frac{4}{2}\)

Question 11.

Answer:

Explanation:

\(\frac{11}{8}\) + \(\frac{3}{2}\) = (11 + 12) ÷ 8

= 23 ÷ 8 or \(\frac{23}{8}\)

\(\frac{3}{2}\) + \(\frac{23}{8}\) = (12 + 23) ÷ 8

= 35 ÷ 8 or \(\frac{35}{8}\)

\(\frac{17}{8}\) + \(\frac{9}{4}\) = (17 + 18) ÷ 8

= 35 ÷ 8 or \(\frac{35}{8}\)

\(\frac{9}{4}\) + \(\frac{35}{8}\) = (18 + 35) ÷ 8

= 53 ÷ 8 or \(\frac{53}{8}\)

\(\frac{35}{8}\) + \(\frac{53}{8}\) = (35 + 53) ÷ 8

= 88 ÷ 8

= 11.

**Write each improper fraction in a box to show its correct location on the number line.
**Question 12.

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

Answer:

Explanation:

\(\frac{4}{3}\) = 1.33.

On number line = \(\frac{12}{9}\) = 1.33.

Question 13.

\(\frac{7}{3}\)

Answer:

Explanation:

\(\frac{7}{3}\) = 2.33.

On number line = \(\frac{21}{9}\)= 2.33.

Question 14.

\(\frac{17}{9}\)

Answer:

Explanation:

\(\frac{17}{9}\) = 1.89.

On number line = \(\frac{17}{9}\) = 1.89.