# Texas Go Math Grade 4 Lesson 3.4 Answer Key Find Equivalent Fractions

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## Texas Go Math Grade 4 Lesson 3.4 Answer Key Find Equivalent Fractions

Essential Question

How can you use the strategy make a table to solve problems using equivalent fractions?

unlock the Problem

Anaya is planting a flower garden. The garden will have no more than 12 equal sections. $$\frac{3}{4}$$ of the garden will have daisies. What other fractions could represent the part of the garden that will have daisies?

What do I need to find?

____________ that could represent the part of the garden that will have daisies

What information am I given?

____________ of the garden will have daisies. The garden will not have more than

____________ equal sections.

Plan

What is my plan or strategy?

I can make a ____________

to find ____________ to solve the problem.

I can make a table and draw models to find equivalent fractions.

Solve

Question 1.
What other fractions could represent the part of the garden that will have daisies? Explain.

Try Another Problem

Two friends are knitting scarves. Each scarf has 3 rectangles, and $$\frac{2}{3}$$ of the rectangles have stripes. If the friends are making 10 scarves, how many rectangles do they need? How many rectangles will have stripes?

What do I need to find?

What information am I given?

Plan

What is my plan or strategy?

Solve

Question 2.

Math Talk

Mathematical Processes
What strategy did you use and why?

Unlock the Problem

• Use the Problem Solving Mathboard.
• Underline important facts.
• Choose a strategy you know.

Share and Show

Question 1.
Multi-Step Keisha is helping plan a race route for a 10-kilometer charity run. The committee wants to set up the following things along the course.

Viewing areas: At the end of each half of the course
Water stations: At the end of each fifth of the course
Distance markers: At the end of each tenth of the course

Which locations have more than one thing located there?
First, make a table to organize the information.

Next, identify a relationship. Use equivalent fractions which have the same denominator. Circle the locations.

Question 2.
H.O.T. What if distance markers will also be placed at the end of every fourth of the course? Will any of those markers be set up at the same location as another distance marker, a water station, or a viewing area? Explain.

Problem Solving

Question 3.
H.O.T. Multi-Step A baker cut a pie in half. He cut each half into 3 equal pieces and each piece into 2 equal slices. He sold 6 slices. What fraction of the pie did the baker sell?

Question 4.
H.O.T. Reasoning Andy cut a tuna sandwich and a chicken sandwich into a total of 15 same-size pieces. He cut the tuna sandwich into 9 more pieces than the chicken sandwich. Andy ate 8 pieces of the tuna sandwich. What fraction of the tuna sandwich did he eat?

Question 5.
Apply Of the 24 paper airplanes at a contest, $$\frac{5}{6}$$ of them are made from a single sheet of paper. What other fraction could represent the same amount of paper airplanes made from a single sheet of paper?
(A) $$\frac{5}{12}$$
(B) $$\frac{2}{3}$$
(C) $$\frac{10}{12}$$
(D) $$\frac{8}{9}$$

Question 6.
Multi-Step There are 18 puzzles in a crossword puzzle book. Christi finished 9 of the puzzles. Which fractions could describe the part of the crossword puzzle book that Christi finished?
(A) $$\frac{6}{2}$$ and $$\frac{4}{5}$$
(B) $$\frac{3}{6}$$ and $$\frac{2}{3}$$
(C) $$\frac{6}{8}$$ and $$\frac{1}{2}$$
(D) $$\frac{1}{2}$$ and $$\frac{3}{6}$$

Question 7.
Multi-Step David uses $$\frac{2}{3}$$ yard of cloth to make a bag. Which
amounts are equivalent to $$\frac{2}{3}$$ yard?
(A) $$\frac{8}{12}$$ and $$\frac{10}{12}$$
(B) $$\frac{4}{6}$$ and $$\frac{8}{12}$$
(C) $$\frac{4}{6}$$ and $$\frac{6}{12}$$
(D) $$\frac{6}{9}$$ and $$\frac{6}{12}$$

TEXAS Test Prep

Question 8.
A comic-book store will trade 5 of its comic books for 6 of yours.
How many of its comic books will the store trade for 36 of yours?
(A) 42
(B) 30
(C) 36
(D) 25

### Texas Go Math Grade 4 Lesson 3.4 Homework and Practice Answer Key

Find Equivalent Fractions

Question 1.
Joanna is filling bags with candy. Each bag has 5 pieces of candy. Joanna wants $$\frac{2}{5}$$ of the candy in each bag to be chocolate bars. Solve using the table below.

Question 2.
If Joanna fills 10 bags of candy, how many pieces of candy will she need?

Question 3.
How many chocolate bars will she need for 10 bags of candy?

Question 4.
What other strategies could Joanna use to solve the problem?

Problem Solving

Question 5.
Chandler is sewing a quilt. The quilt will have 18 equal squares. Of the squares, $$\frac{1}{3}$$ will be blue. What other fractions could represent the part of the quilt that will have blue squares? Explain.

Question 6.
On Chandler’s quilt, $$\frac{2}{3}$$ of the squares will be red. What other fractions represent the part of the quilt that will be red? Explain.

Lesson Check

Question 7.
The table below shows equivalent fractions.

Which fraction completes the table?
(A) $$\frac{12}{20}$$
(B) $$\frac{14}{16}$$
(C) $$\frac{16}{20}$$
(D) $$\frac{24}{20}$$

TEXAS Test Prep

Question 8.
A grocery store will trade 1 of its fabric bags for 8 of your plastic bags. How many of the store’s fabric bags will it trade for 32 of your bags?
(A) 5
(B) 3
(C) 2
(D) 4

Question 9.
Cara got 9 out of 10 test items correct. What is her score on the test out of 100?
(A) 9
(B) 90
(C) 900
(D) 19

Question 10.
Tracy buys $$\frac{7}{8}$$ yard of ribbon. What Other fraction could represent this amount of ribbon?
(A) $$\frac{21}{32}$$
(B) $$\frac{21}{24}$$
(C) $$\frac{12}{16}$$
(D) $$\frac{3}{4}$$

Question 11.
Multi-Step Mrs. Lee cut a pizza in half. She cut each half into 2 equal pieces and then each piece into 3 equal slices. She served 8 slices. What fraction of the pizza did Mrs. Lee serve?
(A) $$\frac{2}{3}$$
(B) $$\frac{3}{8}$$
(C) $$\frac{1}{4}$$
(D) $$\frac{1}{6}$$
(A) $$\frac{5}{12}$$
(B) $$\frac{4}{5}$$
(C) $$\frac{5}{7}$$
(D) $$\frac{7}{15}$$