# Into Math Grade 4 Module 15 Lesson 1 Answer Key Add and Subtract Fractions to Solve Problems

We included HMH Into Math Grade 4 Answer Key PDF Module 15 Lesson 1 Add and Subtract Fractions to Solve Problems to make students experts in learning maths.

## HMH Into Math Grade 4 Module 15 Lesson 1 Answer Key Add and Subtract Fractions to Solve Problems

I Can add and subtract fractions greater than one with like denominators to solve real-world problems.

Mrs. Hanson needs 9 servings of almonds. Each serving weighs $$\frac{1}{4}$$ pound. She already has $$\frac{3}{4}$$ pound of almonds. How many more pounds of almonds does she need?

Almonds already has = $$\frac{3}{4}$$
Almonds needed = $$\frac{6}{4}$$
Explanation:
Mrs. Hanson needs 9 servings of almonds.
Each serving weighs $$\frac{1}{4}$$ pounds.
Already he has $$\frac{3}{4}$$ pounds of almonds.
Total Almonds he needed = $$\frac{9}{4}$$ – $$\frac{3}{4}$$
= $$\frac{6}{4}$$ pounds.

Turn and Talk One classmate represents this problem with an addition equation and another uses a subtraction equation. Who is correct and how do you know?
Both are correct.
Explanation:
Addition and subtractions are inverse to each other,
that means we can undo an addition through subtraction,
and we can undo a subtraction through addition.
Addition equation $$\frac{3}{4}$$ + $$\frac{6}{4}$$ = $$\frac{9}{4}$$
Subtraction equation $$\frac{9}{4}$$ – $$\frac{3}{4}$$ = $$\frac{6}{4}$$

Build Understanding

Question 1.
Brooke and Bailey each bring $$\frac{1}{4}$$-pound bowls of grapes to serve at a class party. This shows the number of bowls each person brings. How many pounds of grapes do they bring?

Show how you could find the total amount.
$$\frac{7}{4}$$

A. What does a unit fraction represent in the problem?
Unit fraction is $$\frac{1}{4}$$

B. What addition equation models the problem?
$$\frac{5}{4}$$ + $$\frac{2}{4}$$

C. How many bowls of grapes do Brooke and Bailey bring?
7 bowls

D. What is the weight of the grapes the two students bring?
$$\frac{7}{4}$$
Explanation:
Brooke brings 5 bowls of $$\frac{1}{4}$$ pounds of grapes = $$\frac{5}{4}$$
Bailey brings 2 bowls of $$\frac{1}{4}$$ pounds of grapes = $$\frac{2}{4}$$
Total pounds of grapes = $$\frac{5}{4}$$ + $$\frac{2}{4}$$
= $$\frac{7}{4}$$ pounds of grapes.

Step It Out

Question 2.
Mrs. Hanson makes a snack mix with this bag of raisins and this box of cereal. The students eat $$\frac{14}{12}$$ pounds of snack mix at the party. How much snack mix is left?

A. How can you find the weight of the snack mix Mrs. Hanson makes?
By adding both the weights of Cereal and Raisins mix.

B. Model this part of the problem with an equation and find how much snack mix Mrs. Hanson makes.
$$\frac{8}{12}$$ + $$\frac{9}{12}$$

C. How can you find how much is left after the students eat some?
By subtracting the eaten portion from the total snack mix.

D. Model this part of the problem with an equation and find how much snack mix is left.
$$\frac{17}{12}$$ – $$\frac{14}{12}$$ = $$\frac{3}{12}$$
Explanation:
Weight of Raisins is $$\frac{8}{12}$$
Weight of Cereals is $$\frac{9}{12}$$
total weight of snack mix = $$\frac{8}{12}$$ + $$\frac{9}{12}$$
= $$\frac{17}{12}$$
The students eat $$\frac{14}{12}$$ pounds of snack mix at the party.
Snack mix is left = $$\frac{17}{12}$$ – $$\frac{14}{12}$$pounds
= $$\frac{3}{12}$$ pounds

Turn and Talk In terms of the snack mix, what does it mean for the amount of snack mix Mrs. Hanson makes to be described as a fraction greater than 1?
$$\frac{17}{12}$$
Explanation:
When the numerator is greater than denominator than we express the fraction as greater than 1.

Check Understanding

Question 1.
Delia has $$\frac{4}{10}$$ yard of white ribbon and $$\frac{8}{10}$$ yard of red ribbon. How many yards of ribbon does she have?
$$\frac{12}{10}$$ yards of ribbon.
Explanation:
Delia has $$\frac{4}{10}$$ yard of white ribbon,
$$\frac{8}{10}$$ yard of red ribbon.
Total yards of ribbon she have = $$\frac{4}{10}$$ + $$\frac{8}{10}$$
= $$\frac{12}{10}$$ yards ribbon.

Question 2.
Frankie has $$\frac{3}{8}$$ pound of sunflower seeds and $$\frac{7}{8}$$ pound of cracked corn that he mixes together for bird feed. He puts $$\frac{9}{8}$$ pounds in a bird feeder. How many pounds does he have now?
$$\frac{1}{8}$$ pounds
Explanation:
Frankie has $$\frac{3}{8}$$ pound of sunflower seeds,
$$\frac{7}{8}$$ pound of cracked corn that he mixes together for bird feed.
= $$\frac{3}{8}$$ + $$\frac{7}{8}$$ = $$\frac{10}{8}$$
He puts $$\frac{9}{8}$$ pounds in a bird feeder.
Total pounds he have now = $$\frac{10}{8}$$ – $$\frac{9}{8}$$
= $$\frac{1}{8}$$ pounds

Question 3.
Reason Brad has some water in a bucket. He pours $$\frac{3}{10}$$ liter of water on some house plants. Now there is $$\frac{4}{10}$$ liter of water in the bucket. How many liters of water did Brad have in the bucket before watering the plants? Show your work.
$$\frac{7}{10}$$ liters
Explanation:
Brad pours $$\frac{3}{10}$$ liter of water on some house plants.
Now there is $$\frac{4}{10}$$ liter of water in the bucket.
Total liters of water Brad have in the bucket before watering the plants
= $$\frac{3}{10}$$ + $$\frac{4}{10}$$
= $$\frac{3+4}{10}$$ = $$\frac{7}{10}$$

Question 4.
Use Tools Lily spends $$\frac{3}{5}$$ hour reading, $$\frac{2}{5}$$ hour helping her mother, and $$\frac{1}{5}$$ hour playing with her little brother. How many hours does Lily spend on these tasks? Make a visual fraction model to represent the problem.
Lily spends $$\frac{6}{5}$$ hours.

Explanation:
Lily spends $$\frac{3}{5}$$ hour reading,
$$\frac{2}{5}$$ hour helping her mother,
and $$\frac{1}{5}$$ hour playing with her little brother.
Total hours Lily spend on these tasks
= $$\frac{3}{5}$$ + $$\frac{2}{5}$$ + $$\frac{1}{5}$$
= $$\frac{3+2+1}{5}$$ = $$\frac{6}{5}$$

Question 5.
A state park has 4 trails that are less than 1 mile in length. Spencer wants to walk more than $$\frac{15}{10}$$ miles, but less than $$\frac{19}{10}$$ miles. Which trails could he walk? Justify your response.

Trail C $$\frac{4}{10}$$ miles.
Explanation:
A state park has 4 trails that are less than 1 mile in length.
Spencer wants to walk more than $$\frac{15}{10}$$ miles,
but less than $$\frac{19}{10}$$ miles.
Preferable trails he could walk = $$\frac{19}{10}$$  – $$\frac{15}{10}$$
= $$\frac{4}{10}$$ miles on trail C.

Find the sum or difference.

Question 6.
$$\frac{3}{6}$$ + $$\frac{7}{6}$$ = ___________
$$\frac{10}{6}$$ = $$\frac{5}{3}$$
Explanation:
$$\frac{3}{6}$$ + $$\frac{7}{6}$$ = $$\frac{3+7}{6}$$
= $$\frac{10}{6}$$ = $$\frac{5}{3}$$

Question 7.
$$\frac{11}{10}$$ – $$\frac{3}{10}$$ = __________
$$\frac{8}{10}$$ = $$\frac{4}{5}$$
Explanation:
$$\frac{11}{10}$$ – $$\frac{3}{10}$$ = $$\frac{11- 3}{10}$$
= $$\frac{8}{10}$$ = $$\frac{4}{5}$$

Question 8.
$$\frac{2}{4}$$ + $$\frac{3}{4}$$ – $$\frac{1}{4}$$ = __________
$$\frac{4}{4}$$ = 1
Explanation:
$$\frac{2}{4}$$ + $$\frac{3}{4}$$ – $$\frac{1}{4}$$
= $$\frac{2+3-1}{4}$$ = $$\frac{5 – 1}{4}$$
= $$\frac{4}{4}$$ = 1

Question 9.
$$\frac{8}{12}$$ + $$\frac{6}{12}$$ + $$\frac{5}{12}$$ = ___________
$$\frac{19}{12}$$
Explanation:
$$\frac{8}{12}$$ + $$\frac{6}{12}$$ + $$\frac{5}{12}$$
= $$\frac{8+6+5}{12}$$ = $$\frac{19}{12}$$

I’m in a Learning Mindset!

What strategy worked best for me when solving these problems?