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.
