Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 8.1 Dividing Fractions by Whole Numbers will engage students and is a great way of informal assessment.
McGraw-Hill Math Grade 6 Answer Key Lesson 8.1 Dividing Fractions by Whole Numbers
Exercises Divide
Question 1.
\(\frac{1}{2}\) ÷ 4
Answer:
Dividing \(\frac{1}{2}\) by 4 ,we get the quotient \(\frac{1}{8}\)
Explanation:
\(\frac{1}{2}\) ÷ 4
= \(\frac{1}{2}\) × \(\frac{1}{4}\)
= \(\frac{1}{8}\)
Question 2.
\(\frac{3}{5}\) ÷ 4
Answer:
Dividing \(\frac{3}{5}\) by 4,,we get the quotient \(\frac{3}{20}\)
Explanation:
\(\frac{3}{5}\) ÷ 4
= \(\frac{3}{5}\) × \(\frac{1}{4}\)
= \(\frac{3}{20}\)
Question 3.
\(\frac{6}{7}\) ÷ 3
Answer:
Dividing \(\frac{6}{7}\) by 3,,we get the quotient \(\frac{6}{21}\)
Explanation:
\(\frac{6}{7}\) ÷ 3
= \(\frac{6}{7}\) × \(\frac{1}{3}\)
= \(\frac{6}{21}\)
Question 4.
\(\frac{1}{2}\) ÷ 6
Answer:
Dividing \(\frac{1}{2}\) by 6,,we get the quotient \(\frac{1}{12}\)
Explanation:
\(\frac{1}{2}\) ÷ 6
= \(\frac{1}{2}\) × \(\frac{1}{6}\)
= \(\frac{1}{12}\)
Question 5.
\(\frac{5}{19}\) ÷ 2
Answer:
Dividing \(\frac{5}{19}\) by 2,,we get the quotient \(\frac{5}{38}\)
Explanation:
\(\frac{5}{19}\) ÷ 2
= \(\frac{5}{19}\) × \(\frac{1}{2}\)
= \(\frac{5}{38}\)
Question 6.
\(\frac{4}{5}\) ÷ 7
Answer:
Dividing \(\frac{4}{5}\) by 7,we get the quotient \(\frac{4}{35}\)
Explanation:
\(\frac{4}{5}\) ÷ 7
= \(\frac{4}{5}\) × \(\frac{1}{7}\)
= \(\frac{4}{35}\)
Question 7.
\(\frac{1}{9}\) ÷ 9
Answer:
Dividing \(\frac{1}{9}\) by 9,we get the quotient \(\frac{1}{81}\)
Explanation:
\(\frac{1}{9}\) ÷ 9
= \(\frac{1}{9}\) × \(\frac{1}{9}\)
= \(\frac{1}{81}\)
Question 8.
\(\frac{3}{11}\) ÷ 12
Answer:
Dividing \(\frac{3}{11}\) by 12,we get the quotient \(\frac{3}{132}\)
Explanation:
\(\frac{3}{11}\) ÷ 12
= \(\frac{3}{11}\) × \(\frac{1}{12}\)
= \(\frac{3}{132}\)
Question 9.
\(\frac{17}{18}\) ÷ 4
Answer:
Dividing \(\frac{17}{18}\) by 4,we get the quotient \(\frac{17}{72}\)
Explanation:
\(\frac{17}{18}\) ÷ 4
= \(\frac{17}{18}\) × \(\frac{1}{4}\)
= \(\frac{17}{72}\)
Question 10.
\(\frac{12}{13}\) ÷ 3
Answer:
Dividing \(\frac{12}{13}\) by 3,we get the quotient \(\frac{4}{13}\)
Explanation:
\(\frac{12}{13}\) ÷ 3
= \(\frac{12}{13}\) × \(\frac{1}{3}\)
= \(\frac{12}{39}\)
= \(\frac{4}{13}\)
Question 11.
\(\frac{2}{3}\) ÷ 6
Answer:
Dividing \(\frac{2}{3}\) by 6,we get the quotient \(\frac{1}{9}\)
Explanation:
\(\frac{2}{3}\) ÷ 6
= \(\frac{2}{3}\) × \(\frac{1}{6}\)
= \(\frac{2}{18}\)
= \(\frac{1}{9}\)
Question 12.
\(\frac{5}{11}\) ÷ 20
Answer:
Dividing \(\frac{5}{11}\) by 20,we get the quotient \(\frac{1}{44}\)
Explanation:
\(\frac{5}{11}\) ÷ 20
= \(\frac{5}{11}\) × \(\frac{1}{20}\)
= \(\frac{5}{220}\)
= \(\frac{1}{44}\)
Question 13.
\(\frac{3}{7}\) ÷ 11
Answer:
Dividing \(\frac{3}{7}\) by 11,we get the quotient \(\frac{3}{77}\)
Explanation:
\(\frac{3}{7}\) ÷ 11
= \(\frac{3}{7}\) × \(\frac{1}{11}\)
= \(\frac{3}{77}\)
Question 14.
\(\frac{1}{3}\) ÷ 9
Answer:
Dividing \(\frac{1}{3}\) by 9,we get the quotient \(\frac{1}{27}\)
Explanation:
\(\frac{1}{3}\) ÷ 9
= \(\frac{1}{3}\) × \(\frac{1}{9}\)
= \(\frac{1}{27}\)
Question 15.
\(\frac{10}{11}\) ÷ 5
Answer:
Dividing \(\frac{10}{11}\) by 5,we get the quotient \(\frac{10}{55}\)
Explanation:
\(\frac{10}{11}\) ÷ 5
= \(\frac{10}{11}\) × \(\frac{1}{5}\)
= \(\frac{10}{55}\)
Question 16.
\(\frac{10}{13}\) ÷ 3
Answer:
Dividing \(\frac{10}{13}\) by 3,we get the quotient \(\frac{10}{39}\)
Explanation:
\(\frac{10}{13}\) ÷ 3
= \(\frac{10}{13}\) × \(\frac{1}{3}\)
= \(\frac{10}{39}\)
Question 17.
\(\frac{4}{5}\) ÷ 4
Answer:
Dividing \(\frac{4}{5}\) by 4,we get the quotient \(\frac{1}{5}\)
Explanation:
\(\frac{4}{5}\) ÷ 4
= \(\frac{4}{5}\) × \(\frac{1}{4}\)
= \(\frac{1}{5}\) × \(\frac{1}{1}\)
= \(\frac{1}{5}\)
Question 18.
\(\frac{12}{13}\) ÷ 5
Answer:
Dividing \(\frac{12}{13}\) by 5,we get the quotient \(\frac{12}{65}\)
Explanation:
\(\frac{12}{13}\) ÷ 5
= \(\frac{12}{13}\) × \(\frac{1}{5}\)
= \(\frac{12}{65}\)
Question 19.
\(\frac{2}{11}\) ÷ 4
Answer:
Dividing \(\frac{2}{11}\) by 4,we get the quotient \(\frac{1}{22}\)
Explanation:
\(\frac{2}{11}\) ÷ 4
= \(\frac{2}{11}\) × \(\frac{1}{4}\)
= \(\frac{1}{11}\) × \(\frac{1}{2}\)
= \(\frac{1}{22}\)
Question 20.
\(\frac{3}{4}\) ÷ 7
Answer:
Dividing \(\frac{3}{4}\) by 7,we get the quotient \(\frac{3}{28}\)
Explanation:
\(\frac{3}{4}\) ÷ 7
= \(\frac{3}{4}\) × \(\frac{1}{7}\)
= \(\frac{3}{28}\)
Question 21.
Mrs. Spinosa brought \(\frac{15}{19}\) pounds of chocolate for her fourth grade class to enjoy. If all 15 students want an equal portion of chocolate, how much will each student receive?
Answer:
Number of pounds of of chocolate each student receives = \(\frac{1}{19}\)
Explanation:
Number of pounds of of chocolate Mrs. Spinosa brought = \(\frac{15}{19}\)
Number of students = 15.
Number of pounds of of chocolate each student receives = Number of pounds of of chocolate Mrs. Spinosa brought ÷ Number of students
= \(\frac{15}{19}\) ÷ 15
= \(\frac{15}{19}\) × \(\frac{1}{15}\)
= \(\frac{1}{19}\) × \(\frac{1}{1}\)
= \(\frac{1}{19}\)
Question 22.
Mr. Lewis bought \(\frac{10}{13}\) liters of apple cider to divide equally among his three children. How much apple cider will each child receive?
Answer:
Number of liters of apple cider each child receives = \(\frac{10}{39}\)
Explanation:
Number of liters of apple cider Mr. Lewis bought = \(\frac{10}{13}\)
Number of children = 3.
Number of liters of apple cider each child receives = Number of liters of apple cider Mr. Lewis bought ÷ Number of children
= \(\frac{10}{13}\) ÷ 3
= \(\frac{10}{13}\) × \(\frac{1}{3}\)
= \(\frac{10}{39}\)