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.