Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 5.3 Dividing Fractions by Fractions to secure good marks & knowledge in the exams.
McGraw-Hill Math Grade 8 Answer Key Lesson 5.3 Dividing Fractions by Fractions
Exercises Divide
Question 1.
\(\frac{6}{7}\) ÷ \(\frac{3}{8}\)
Answer:
\(\frac{16}{7}\),
Explanation:
\(\frac{6}{7}\) ÷ \(\frac{3}{8}\)
= \(\frac{6}{7}\) ÷ \(\frac{3}{8}\)
= \(\frac{6}{7}\) x \(\frac{8}{3}\)
= \(\frac{6 X 8}{7 X 3}\)
= \(\frac{16}{7}\)
Question 2.
\(\frac{4}{14}\) ÷ \(\frac{2}{16}\)
Answer:
\(\frac{16}{7}\),
Explanation:
\(\frac{4}{14}\) ÷ \(\frac{2}{16}\)
= \(\frac{4}{14}\) ÷ \(\frac{2}{16}\)
= \(\frac{4}{14}\) x \(\frac{16}{2}\)
= \(\frac{4 X 16}{14 X 2}\)
= \(\frac{16}{7}\).
Question 3.
\(\frac{2}{9}\) ÷ \(\frac{3}{7}\)
Answer:
\(\frac{14}{27}\),
Explanation:
= \(\frac{2}{9}\) ÷ \(\frac{3}{7}\)
= \(\frac{2}{9}\) x \(\frac{7}{3}\)
= \(\frac{2 X 7}{9 X 3}\)
= \(\frac{14}{27}\)
Question 4.
\(\frac{1}{4}\) ÷ \(\frac{1}{8}\)
Answer:
2,
Explanation:
\(\frac{1}{4}\) ÷ \(\frac{1}{8}\)
= \(\frac{1}{4}\) ÷ \(\frac{1}{8}\)
= \(\frac{1}{4}\) x \(\frac{8}{1}\)
= \(\frac{1 X 8}{4 X 1}\)
= 2.
Question 5.
\(\frac{5}{13}\) ÷ \(\frac{5}{9}\)
Answer:
\(\frac{9}{13}\),
Explanation:
= \(\frac{5}{13}\) ÷ \(\frac{5}{9}\)
= \(\frac{5}{13}\) x \(\frac{9}{5}\)
= \(\frac{5 X 9}{13 X 5}\)
= \(\frac{9}{13}\)
Question 6.
\(\frac{7}{9}\) ÷ \(\frac{1}{7}\)
Answer:
\(\frac{49}{9}\),
Explanation:
= \(\frac{7}{9}\) ÷ \(\frac{1}{7}\)
= \(\frac{7}{9}\) x \(\frac{7}{1}\)
= \(\frac{7 X 7}{1 X 9}\)
= \(\frac{49}{9}\)
Question 7.
\(\frac{1}{13}\) ÷ \(\frac{1}{3}\)
Answer:
\(\frac{3}{13}\),
Explanation:
= \(\frac{1}{13}\) ÷ \(\frac{1}{3}\)
= \(\frac{1}{13}\) x \(\frac{3}{1}\)
= \(\frac{3}{13}\)
Question 8.
\(\frac{5}{17}\) ÷ \(\frac{2}{17}\)
Answer:
\(\frac{5}{2}\),
Explanation:
\(\frac{5}{17}\) ÷ \(\frac{2}{17}\)
= \(\frac{5}{17}\) x \(\frac{17}{2}\)
= \(\frac{5 X 17}{17 X 2}\)
= \(\frac{5}{2}\)
Question 9.
\(\frac{4}{5}\) ÷ \(\frac{1}{4}\)
Answer:
\(\frac{16}{5}\),
Explanation:
\(\frac{4}{5}\) ÷ \(\frac{1}{4}\)
\(\frac{4}{5}\) x \(\frac{4}{1}\)
\(\frac{4 X 4}{5 X 1}\)
\(\frac{16}{5}\)
Question 10.
\(\frac{15}{24}\) ÷ \(\frac{5}{3}\)
Answer:
\(\frac{3}{8}\),
Explanation:
= \(\frac{15}{24}\) ÷ \(\frac{5}{3}\)
= \(\frac{15}{24}\) x \(\frac{3}{5}\)
= \(\frac{15 X 3}{5 X 24}\)
= \(\frac{3}{8}\)
Question 11.
\(\frac{6}{11}\) ÷ \(\frac{11}{7}\)
Answer:
\(\frac{42}{121}\),
Explanation:
= \(\frac{6}{11}\) ÷ \(\frac{11}{7}\)
= \(\frac{6}{11}\) x \(\frac{7}{11}\)
= \(\frac{6 X 7}{11 X 11}\)
= \(\frac{42}{121}\)
Question 12.
\(\frac{13}{17}\) ÷ \(\frac{26}{17}\)
Answer:
\(\frac{1}{2}\),
Explanation:
= \(\frac{13}{17}\) ÷ \(\frac{26}{17}\)
= \(\frac{13}{17}\) x \(\frac{17}{26}\)
= \(\frac{13 X 17}{17 X 26}\)
= \(\frac{1}{2}\)
Question 13.
\(\frac{3}{11}\) ÷ \(\frac{22}{33}\)
Answer:
\(\frac{9}{22}\),
Explanation:
= \(\frac{3}{11}\) ÷ \(\frac{22}{33}\)
= \(\frac{3}{11}\) x \(\frac{33}{22}\)
= \(\frac{3 X 33} x {11 X 22}\)
= \(\frac{9}{22}\),
Question 14.
\(\frac{4}{7}\) ÷ \(\frac{4}{21}\)
Answer:
3,
Explanation:
\(\frac{4}{7}\) ÷ \(\frac{4}{21}\)
= \(\frac{4}{7}\) ÷ \(\frac{4}{21}\)
= \(\frac{4}{7}\) x \(\frac{21}{4}\)
= \(\frac{3}{1}\)
= 3
Question 15.
\(\frac{9}{14}\) ÷ \(\frac{3}{7}\)
Answer:
\(\frac{3}{2}\),
Explanation:
\(\frac{9}{14}\) ÷ \(\frac{3}{7}\)
\(\frac{9}{14}\) x \(\frac{7}{3}\)
\(\frac{9 X 7}{14 X 3}\)
\(\frac{3}{2}\)
Question 16.
\(\frac{3}{5}\) ÷ \(\frac{5}{3}\)
Answer:
\(\frac{9}{25}\),
Explanation:
= \(\frac{3}{5}\) ÷ \(\frac{5}{3}\)
= \(\frac{3}{5}\) x \(\frac{3}{5}\)
= \(\frac{3 X 3}{5 X 5}\)
= \(\frac{9}{25}\)
Question 17.
A recipe calls for the use of \(\frac{1}{16}\) ounce of batter for each muffin. How many muffins can be made from \(\frac{7}{8}\) ounces of batter?
Answer:
14 muffins,
Explanation:
A recipe calls for the use of \(\frac{1}{16}\) ounce of batter for each muffin.
Number of muffins can be made from \(\frac{7}{8}\) ounces of batter,
= \(\frac{7}{8}\) ÷ \(\frac{1}{16}\)
= \(\frac{7}{8}\) x \(\frac{16}{1}\)
= \(\frac{7 X 16}{8}\)
= 14
Question 18.
How many miles can a go-cart travel on a full tank of gas if the gas tank holds \(\frac{15}{16}\) gallons and burns \(\frac{1}{8}\) gallons for each mile traveled?
Answer:
7\(\frac{1}{2}\),
Explanation:
A go-cart travel gas if the gas tank holds \(\frac{15}{16}\) gallons,
burns \(\frac{1}{8}\) gallons for each mile traveled,
Total number of miles it can travel,
\(\frac{15}{16}\) ÷ \(\frac{1}{8}\)
= \(\frac{15}{16}\) x \(\frac{8}{1}\)
= \(\frac{15 X 8}{16}\)
= \(\frac{15}{2}\)
= 7\(\frac{1}{2}\)