Spectrum Math Grade 4 Chapter 6 Lesson 16 Answer Key Problem Solving

This handy Spectrum Math Grade 4 Answer Key Chapter 6 Lesson 6.16 Problem Solving provides detailed answers for the workbook questions.

Spectrum Math Grade 4 Chapter 6 Lesson 6.16 Problem Solving Answers Key

Multiply. Write answers in simplest form. Show your work.

Question 1.
One serving of pancakes calls for \(\frac{1}{3}\) cup of milk. How many cups of milk are needed for 4 servings of pancakes?
_____________ cups of milk are needed for four servings of pancakes.
Answer:
1\(\frac{1}{3}\) cups of milk.

Explanation:
One serving of pancakes calls for \(\frac{1}{3}\) cup of milk.
Total cups of milk are needed for 4 servings of pancakes,
4 x \(\frac{1}{3}\) = \(\frac{4}{3}\)
Reduce to the simplest form.
1\(\frac{1}{3}\) cups of milk.

Question 2.
If Carlos works \(\frac{5}{12}\) of a day every day, how much will Carlos have worked after 5 days?
Carlos will have worked _____________ days.
Answer:
2 \(\frac{1}{12}\) days.

Explanation:
Carlos works \(\frac{5}{12}\) of a day every day,
Total work done by Carlos after 5 days,
5 x \(\frac{5}{12}\) = \(\frac{25}{12}\)
Reduce to the simplest form.
2\(\frac{1}{12}\)

Question 3.
Tony drinks \(\frac{2}{7}\) of a gallon of orange juice a day. How many gallons of orange juice would he drink in 4 days?
He would drink ____________ gallons of orange juice.
Answer:
\(\frac{8}{7}\) gallons of orange juice.

Explanation:
Tony drinks \(\frac{2}{7}\) of a gallon of orange juice a day.
Number of gallons of orange juice would he drink in 4 days,
4 x \(\frac{2}{7}\) = \(\frac{8}{7}\) gallons.

Question 4.
Miranda has 3 kites. Each kite needs \(\frac{2}{3}\) yard of string. How much string does Miranda need for all 3 kites?
Miranda needs _____________ yards of string.
Answer:
2 yards.

Explanation:
Miranda has 3 kites.
Each kite needs \(\frac{2}{3}\) yard of string.
Total string does Miranda need for all 3 kites,
3 x \(\frac{2}{3}\) = 2 yard of string.

Question 5.
A single serving of gelatin dessert requires \(\frac{3}{8}\) cup sugar. How much sugar is needed for 6 servings?
____________ cups are needed.
Answer:
2 \(\frac{1}{4}\) cups.

Explanation:
A single serving of gelatin dessert requires \(\frac{3}{8}\) cup sugar.
Total sugar is needed for 6 servings,
6 x \(\frac{3}{8}\) = \(\frac{18}{8}\)
Reduce to the simplest form.
\(\frac{9}{4}\) = 2\(\frac{1}{4}\) cups.

Question 6.
Every day Sheila runs \(\frac{4}{7}\) mile. If she runs for 9 days, how far will Sheila have run?
She will have run _____________ miles.
Answer:
5 \(\frac{1}{7}\) miles.

Explanation:
Every day Sheila runs \(\frac{4}{7}\) mile.
If she runs for 9 days,
Number of miles run by Sheila = 9 x \(\frac{4}{7}\)
= \(\frac{36}{7}\)
= \(\frac{1}{7}\)  miles.

Question 7.
Jason put down tile floor in his basement. He placed 10 tiles across the floor. Each tile is \(\frac{5}{8}\) feet wide. How wide is the area he covered with tiles?
The area covered with tiles is _____________ feet wide.
Answer:
6 \(\frac{1}{4}\) feet.

Explanation:
Jason placed 10 tiles across the floor.
Each tile is \(\frac{5}{8}\) feet wide.
Total width of the area he covered with tiles,
10 x \(\frac{5}{8}\) = \(\frac{50}{8}\)
Reduce to the simplest form.
6\(\frac{2}{8}\) = 6\(\frac{1}{4}\) feet.

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