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 \(\frac{8}{3}\) =\(\frac{6 X 8}{7 X 3}\) both goes by 3, So \(\frac{2 X 3 X 8}{7 X 3}\) = \(\frac{2 X 8}{7}\) = \(\frac{16}{7}\).
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:
\(\frac{49}{9}\) = 5\(\frac{4}{9}\),
Explanation:
\(\frac{7}{9}\) ÷ \(\frac{1}{7}\) = \(\frac{7}{9}\) X \(\frac{7}{1}\) = \(\frac{7 X 7}{1 X 9}\) = \(\frac{49}{9}\) as numerator is greater than denominator we write as \(\frac{5 X 9 + 4}{9}\).
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 \(\frac{17}{26}\) = \(\frac{13 X 17}{17 X 26}\) both goes by 13 and 17 as \(\frac{13 X 1 X 17}{17 X 13 X 2}\) = \(\frac{1}{2}\).
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\(\frac{1}{2}\).