Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 6 Lesson 6.4 Dividing Fractions by Whole Numbers Using Models regularly and improve your accuracy in solving questions.
Spectrum Math Grade 5 Chapter 6 Lesson 6.4 Dividing Fractions by Whole Numbers Using Models Answers Key
When dividing fractions, you are splitting one fraction into smaller pieces.
If 5 people evenly split \(\frac{1}{3}\) of a pan of brownies, how much will each person receive?
Divide the third into 5 pieces.
Each person receives \(\frac{1}{15}\) of the original pan of brownies.
Use drawings to solve each problem.
Question 1.
a. \(\frac{1}{4}\) ÷ 7 = ______________
Answer:
\(\frac{1}{28}\)
Explanation:
Given,
\(\frac{1}{4}\) ÷ 7
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{1}{4}\) ÷ \(\frac{7}{1}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{1}{4}\) × \(\frac{1}{7}\)
\(\frac{1 \times 1}{4 \times 7}\) = \(\frac{1}{28}\)
b. \(\frac{1}{3}\) ÷ 3 = ______________
Answer:
\(\frac{1}{9}\)
Explanation:
Given,
\(\frac{1}{3}\) ÷ 3
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{1}{3}\) ÷ \(\frac{3}{1}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{1}{3}\) × \(\frac{1}{3}\)
\(\frac{1 \times 1}{3 \times 3}\) = \(\frac{1}{9}\)
Question 2.
a. \(\frac{1}{5}\) ÷ 9 = _______________
Answer:
\(\frac{1}{45}\)
Explanation:
Given,
\(\frac{1}{5}\) ÷ 9
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{1}{5}\) ÷ \(\frac{9}{1}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{1}{5}\) × \(\frac{1}{9}\)
\(\frac{1 \times 1}{5 \times 9}\) = \(\frac{1}{45}\)
b. \(\frac{1}{2}\) ÷ 6 = _______________
Answer:
\(\frac{1}{12}\)
Explanation:
Given,
\(\frac{1}{2}\) ÷ 6
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{1}{2}\) ÷ \(\frac{6}{1}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{1}{2}\) × \(\frac{1}{6}\)
\(\frac{1 \times 1}{2 \times 6}\) = \(\frac{1}{12}\)
Question 3.
a. \(\frac{1}{2}\) ÷ 7 = _______________
Answer:
\(\frac{1}{14}\)
Explanation:
Given,
\(\frac{1}{2}\) ÷ 7
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{1}{2}\) ÷ \(\frac{7}{1}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{1}{2}\) × \(\frac{1}{7}\)
\(\frac{1 \times 1}{2 \times 7}\) = \(\frac{1}{14}\)
b. \(\frac{1}{6}\) ÷ 2 = ________________
Answer:
\(\frac{1}{12}\)
Explanation:
Given,
\(\frac{1}{6}\) ÷ 2
To divide a whole number by a fraction,
first write the whole number as a fraction.
\(\frac{1}{6}\) ÷ \(\frac{2}{1}\)
Then, multiply by the reciprocal of the divisor.
\(\frac{1}{6}\) × \(\frac{1}{2}\)
\(\frac{1 \times 1}{6 \times 2}\) = \(\frac{1}{12}\)