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.