This handy Spectrum Math Grade 4 Answer Key Chapter 6 Lesson 6.7 Problem Solving provides detailed answers for the workbook questions.
Spectrum Math Grade 4 Chapter 6 Lesson 6.7 Problem Solving Answers Key
Solve each problem. Show your work using fraction models. Show your work.
Question 1.
Three sisters had to wash the family car. Paula washed the front \(\frac{1}{3}\) and Kelley washed the back \(\frac{1}{3}\) of the car. Mandy didn’t show up to wash her part of the car. How much of the car was washed?
_____________ of the car was washed.
Answer:
latex]\frac{2}{3}[/latex]
Explanation:
Paula washed the front \(\frac{1}{3}\) and Kelley washed the back \(\frac{1}{3}\) of the car.
Total portion of the car washed was,
\(\frac{1}{3}\) + latex]\frac{1}{3}[/latex] = latex]\frac{2}{3}[/latex]
Question 2.
Autumn has a bag of apples to feed her horses. If she feeds \(\frac{2}{4}\) of the bag to her favorite horse and \(\frac{1}{4}\) to the new foal, how much of the bag is left to feed the other horses?
_____________ of a bag of apples is left for the other horses.
Answer:
latex]\frac{1}{4}[/latex]
Explanation:
Autumn feeds \(\frac{2}{4}\) of the bag to her favorite horse.
\(\frac{1}{4}\) to the new foal.
Number of bags left to feed the other horses,
\(\frac{2}{4}\) – \(\frac{1}{4}\) = \(\frac{1}{4}\)
Question 3.
The library received \(\frac{3}{5}\) of its book order. The next day, it received \(\frac{1}{5}\) of the order. How much of the book order does the library have?
The library has _______________ of the book order.
Answer:
latex]\frac{4}{5}[/latex]
Explanation:
The library received \(\frac{3}{5}\) of its book order.
The next day, it received \(\frac{1}{5}\) of the order.
Total order of the books does the library have,
\(\frac{3}{5}\) + \(\frac{1}{5}\) = \(\frac{4}{5}\)
Solve each problem. Show your work using equations.
Question 4.
A group of friends went to the movies. In the lobby, \(\frac{4}{8}\) of the group decided to see a comedy and \(\frac{2}{8}\) decided to see a mystery. How much of the group wanted to see either a comedy or a mystery?
_____________ of the group wanted to see a comedy or a mystery.
Answer:
\(\frac{3}{4}\)
Explanation:
\(\frac{4}{8}\) of the group decided to see a comedy movie.
\(\frac{2}{8}\) decided to see a mystery movie.
The group wanted to see either a comedy or a mystery,
\(\frac{4}{8}\) + \(\frac{2}{8}\) = \(\frac{4 + 2}{8}\)
= \(\frac{6}{8}\)
Reduce to the simplest form.
= \(\frac{3}{4}\)
Question 5.
In the school cafeteria, \(\frac{2}{7}\) of the students were fourth-graders and \(\frac{3}{7}\) of the students were fifth- graders. How many students were from the fourth and fifth grades?
_____________ of the students were from the fourth and fifth grades.
Answer:
\(\frac{5}{7}\)
Explanation:
\(\frac{2}{7}\) of the students were fourth-graders.
\(\frac{3}{7}\) of the students were fifth- graders.
Total number of students were from the fourth and fifth grades,
\(\frac{2}{7}\) + \(\frac{3}{7}\) = \(\frac{3 + 2}{7}\)
= \(\frac{5}{7}\)