All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 8 Lesson 2 Dividing Fractions by Whole Numbers are as per the latest syllabus guidelines.
McGraw-Hill Math Grade 5 Answer Key Chapter 8 Lesson 2 Dividing Fractions by Whole Numbers
Divide
Find each quotient. Use multiplication to check your answers.
Question 1.
\(\frac{1}{2}\) ÷ 5 = ____________
Answer:
\(\frac{1}{2}\) ÷ 5 = 0.1.
Explanation:
\(\frac{1}{2}\) ÷ 5 = 0.5 ÷ 5
= 0.1 or \(\frac{1}{10}\).
Check:
Dividend = Quotient × Divisor
\(\frac{1}{10}\) × 5 = 0.5 or \(\frac{1}{2}\).
Question 2.
\(\frac{1}{2}\) ÷ 4 = ____________
Answer:
\(\frac{1}{2}\) ÷ 4 =
Explanation:
\(\frac{1}{2}\) ÷ 4 = 0.5 ÷ 4
= 0.125.
Check:
Dividend = Quotient × Divisor
=> 0.125 × 4 = 0.5 or \(\frac{1}{2}\).
Question 3.
\(\frac{1}{3}\) ÷ 3 = ____________
Answer:
\(\frac{1}{3}\) ÷ 3 =
Explanation:
\(\frac{1}{3}\) ÷ 3 = 0.33 ÷ 3
= 0.11.
Check:
Dividend = Quotient × Divisor
0.11 × 3 = 0.33 or \(\frac{1}{3}\)
Question 4.
\(\frac{1}{4}\) ÷ 6 = ____________
Answer:
\(\frac{1}{4}\) ÷ 6 = 0.0417.
Explanation:
\(\frac{1}{4}\) ÷ 6 = 0.25 ÷ 6
= 0.0417.
Check:
Dividend = Quotient × Divisor
0.0417 × 6 = \(\frac{1}{4}\)
Question 5.
\(\frac{1}{5}\) ÷ 3 = ____________
Answer:
\(\frac{1}{5}\) ÷ 3 = 0.2.
Explanation:
\(\frac{1}{5}\) ÷ 3 = 0.2 ÷ 3
= 0.67.
Check:
Dividend = Quotient × Divisor
0.67 × 3 = 0.2 or \(\frac{1}{5}\)
Question 6.
\(\frac{1}{3}\) ÷ 5 = ____________
Answer:
\(\frac{1}{3}\) ÷ 5 = 0.67.
Explanation:
\(\frac{1}{3}\) ÷ 5 = 0.33 ÷ 5
= 0.67.
Check:
Dividend = Quotient × Divisor
0.67 × 5 = 0.33 or \(\frac{1}{3}\)
Solve each problem. Draw models to help. Multiply to check your answers.
Question 7.
Yolanda has \(\frac{1}{4}\) of a box of markers. She wants to divide the markers among 4 people. She wants each person to get an equal share of the markers. How much of the box of markers should each person get?
Answer:
Number of box of markers each person gets = 0.625.
Explanation:
Number of boxes of markers Yolanda has = \(\frac{1}{4}\)
Number of people she wants to divide them = 4.
Number of box of markers each person gets = Number of boxes of markers Yolanda has ÷ Number of people she wants to divide them
= \(\frac{1}{4}\) ÷ 4
= 0.25 ÷ 4
= 0.625.
Question 8.
Brian has \(\frac{1}{5}\) of a bag of grapes. He wants to divide the grapes among 7 people. He wants each person to get an equal share of the grapes. How much of the bag of grapes should each person get?
Answer:
Number of bags of grapes each person gets = 0.029.
Explanation:
Number of bags of grapes Brian has = \(\frac{1}{5}\)
Number of people she wants to divide them = 7.
Number of bags of grapes each person gets = Number of bags of grapes Brian has ÷ Number of people she wants to divide them
= \(\frac{1}{5}\) ÷ 7
= 0.2 ÷ 7
= 0.029.
Question 9.
Sherri, Andy, and Grace are painting \(\frac{1}{6}\) of a fence. They want to paint an equal share of the fence. How much of the fence should each person paint?
Answer:
Length of of the fence each person paints = 0.056.
Explanation:
Length of painting of a fence Sherri, Andy, and Grace are painting = \(\frac{1}{6}\)
Number of people = 3.
Length of of the fence each person paints = Length of painting of a fence Sherri, Andy, and Grace are painting ÷ Number of people
= \(\frac{1}{6}\) ÷ 3
= 0.17 ÷ 3
= 0.056.
Question 10.
Mona and Eli are washing \(\frac{1}{2}\) of the dishes after dinner. They want to wash an equal share of the dishes. How much should each person wash?
Answer:
Length of dishes for wash each person gets = 0.25.
Explanation:
Length of dishes are washing Mona and Eli after dinner = \(\frac{1}{2}\)
Number of people = 2.
Length of dishes for wash each person gets = Length of dishes are washing Mona and Eli after dinner ÷ Number of people
= \(\frac{1}{2}\) ÷ 2
= 0.5 ÷ 2
= 0.25.
Question 11.
Jack and two friends are washing \(\frac{1}{3}\) of a car. They each want to wash an equal portion of the car. How much of the car should each person wash?
Answer:
Length of the car each person washes = 0.11.
Explanation:
Length of the car Jack and two friends are washing = \(\frac{1}{3}\)
Number of people = 3.
Length of the car each person washes = Length of the car Jack and two friends are washing ÷ Number of people
= \(\frac{1}{3}\) ÷ 3
= 0.33 ÷ 3
= 0.11.