Spectrum Math Grade 4 Chapter 6 Lesson 13 Answer Key Problem Solving

This handy Spectrum Math Grade 4 Answer Key Chapter 6 Lesson 6.13 Problem Solving provides detailed answers for the workbook questions.

Spectrum Math Grade 4 Chapter 6 Lesson 6.13 Problem Solving Answers Key

Solve each problem. Write answers in simplest form. Show your work.

Question 1.
It takes Carlos 2\(\frac{1}{6}\) days to make a model airplane and 1\(\frac{5}{6}\) days to make a model car. How many days will it take Carlos to make both?
It will take _____________ days for Carlos to make both.
Answer:
4

Explanation:
Given,
Carlos takes 2\(\frac{1}{6}\) days to make a model airplane.
1\(\frac{5}{6}\) days to make a model car.
Number of days will it take Carlos to make both,
when denominators are same add the numerators.
2\(\frac{1}{6}\) + 1\(\frac{5}{6}\)
\(\frac{1 + 5}{6}\) = \(\frac{6}{6}\) = 1
Now add the whole numbers.
2 + 1 = 3
So, 3 + 1 = 4.
Therefore, it will take 3 days for Carlos to make both.

Question 2.
Mr. Chen is going to the post office with two packages. One package weighs 6\(\frac{3}{8}\) kilograms and the other weighs 2\(\frac{1}{8}\) kilograms. How many kilograms are the two packages combined?
The packages weigh ______________ kilograms combined.
Answer:
8\(\frac{1}{2}\) kilograms.

Explanation:
Given,
One package weighs 6\(\frac{3}{8}\) kilograms.
The other weighs 2\(\frac{1}{8}\) kilograms.
Total kilograms are the two packages combined,
when denominators are same add the numerators.
6\(\frac{3}{8}\) + 2\(\frac{1}{8}\)
\(\frac{3 + 1}{8}\) = \(\frac{4}{8}\)
Reduce to the simplest form by dividing both the numerator and denominator with same number 4.
\(\frac{1}{2}\)
Now add the whole numbers.
6 + 2 = 8
So, the packages weigh 8\(\frac{1}{2}\) kilograms combined.

Question 3.
The beach is 6\(\frac{9}{10}\) miles from the Cabrera family. They have driven 2\(\frac{3}{10}\) miles toward the beach. How many more miles must the Cabrera family drive?
The Cabrera family must drive _______________ more miles.
Answer:
4\(\frac{3}{5}\) more miles.

Explanation:
Given,
The beach is 6\(\frac{9}{10}\) miles from the Cabrera family.
They have driven 2\(\frac{3}{10}\) miles toward the beach.
Number of more miles must the Cabrera family drive,
6\(\frac{9}{10}\) – 2\(\frac{3}{10}\)
\(\frac{9- 3}{10}\) = \(\frac{6}{10}\)
Reduce to the simplest form by dividing both the numerator and denominator with same number 2.
\(\frac{3}{5}\)
Now subtract the whole numbers.
6 – 2 = 4
So, the Cabrera family must drive 4\(\frac{3}{5}\) more miles.

Question 4.
Jaleela wants to paint her bedroom blue and gold. She has 4\(\frac{3}{8}\) gallons of blue paint and2\(\frac{1}{8}\) gallons of gold paint. How much more blue paint does Jaleela have than gold paint?
Jaleela has ______________ more gallons of blue paint than gold paint.
Answer:
2\(\frac{1}{4}\) more gallons.

Explanation:
Given,
Jaleela has 4\(\frac{3}{8}\) gallons of blue paint and,
2\(\frac{1}{8}\) gallons of gold paint.
Total more blue paint does Jaleela have than gold paint,
4\(\frac{3}{8}\) – 2\(\frac{1}{8}\)
\(\frac{3- 1}{8}\) = \(\frac{2}{8}\)
Reduce to the simplest form by dividing both the numerator and denominator with same number 2.
\(\frac{1}{4}\)
Now subtract the whole numbers.
4 – 2 = 2
So, Jaleela has 2\(\frac{1}{4}\) more gallons of blue paint than gold paint.

Question 5.
Travis is 5\(\frac{7}{12}\) feet tall Nathan is 5\(\frac{11}{12}\) feet tall. How much taller is Nathan than Travis?
Nathan is ______________ foot taller than Travis.
Answer:
\(\frac{1}{3}\) foot.

Explanation:
Given,
Travis is 5\(\frac{7}{12}\) feet tall.
Nathan is 5\(\frac{11}{12}\) feet tall.
Nathan is how much foot taller than Travis,
5\(\frac{11}{12}\) – 5\(\frac{7}{12}\)
When denominators same, subtract the numerators.
\(\frac{11 – 7}{12}\) = \(\frac{4}{12}\)
Reduce to the simplest form by dividing both the numerator and denominator with same number 4.
\(\frac{1}{3}\)
Now subtract the whole numbers.
5 – 5 = 0
So, Nathan is \(\frac{1}{3}\) foot taller than Travis.

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