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## Texas Go Math Grade 3 Lesson 18.4 Answer Key Fractions in Measurements

**Unlock the Problem**

Steve ran \(\frac{3}{4}\) mile and Jenna ran \(\frac{4}{4}\) of a mile. Did Steve and Jenna run the same distance?

**Math Idea**

If two numbers are located at the same point on a number line, then they are equal and represent the same distance from zero.

Locate \(\frac{3}{4}\) and \(\frac{4}{4}\) on a number line.

- Label the number line.
- Draw a point at \(\frac{3}{4}\) and \(\frac{4}{4}\).

Since the distance ________ and _______ are not at the same point, they are not the same distance from zero.

__________, Steve and Jenna did not run the same distance.

Answer:

\(\frac{3}{4}\) and \(\frac{4}{4}\).

Explanation:

The distance \(\frac{3}{4}\) and \(\frac{4}{4}\) is not at the same point, they are not the same distance from zero.

Hence, Steve and Jenna did not run the same distance.

**Try This!** Complete the number line. Locate and draw points at \(\frac{1}{2}\) and \(\frac{2}{2}\).

Think: Do the distances end at the same point?

A. Are \(\frac{1}{2}\) and 1 the same distance from zero? Explain.

Answer:

No, they are not at the same point

Explanation:

The distance \(\frac{1}{2}\) and \(\frac{1}{2}\) is not at the same point, they are not the same distance from zero

B. Are \(\frac{2}{2}\) and 1 the same distance from zero? Explain.

Answer:

Yes, they are at the same point.

Explanation:

The given fractions \(\frac{2}{2}\) and 1 the same distance from zero which is mentioned in the number line.

**Share and Show**

Beth walked \(\frac{5}{8}\) mile. Jodi walked \(\frac{7}{8}\) mile. Austin watched the girls walk. Did Beth, Jodi, and Austin walk the same distance?

Complete the number line. Locate and draw points that Beth, Jodi, and Austin walked.

Think: Do the distances end at the same point?

Question 1.

How far did Austin walk?

Answer:

Austin watched the girls watch. Therefore he is at the same point as in the beginning.

Explanation:

Question 2.

Who walked the farthest distance? Explain.

Answer:

Jodi

Explanation:

Jodi walked the farthest distance.

Use the number line to find which fraction is farther from zero or if the fractions are the same distance from zero.

Question 3.

\(\frac{1}{8}\) and \(\frac{3}{4}\)

Answer:

\(\frac{3}{4}\)

Explanation:

The fraction \(\frac{3}{4}\) is farther from zero in the number line.

**Go Math Grade 3 Answer Key Lesson 18.4 Question 4.**

\(\frac{1}{4}\) and \(\frac{2}{8}\)

Answer:

Both fractions have same distance in the number line.

Explanation:

The fraction \(\frac{1}{4}\) and \(\frac{2}{8}\) are in the same distance from zero.

Question 5.

\(\frac{2}{4}\) and \(\frac{4}{8}\)

Answer:

Both fractions have same distance in the number line.

Explanation:

The fraction \(\frac{2}{4}\) and \(\frac{4}{8}\) are in the same distance from zero.

Question 6.

\(\frac{5}{8}\) and \(\frac{7}{8}\)

Answer:

**Problem Solving**

**H.O.T. **Whatâ€™s the Error?

Question 7.

Andrea and Elaina were making material bags. Andrea bought \(\frac{4}{8}\) of a yard of material and Elaina bought \(\frac{1}{2}\) yard of material. Elaina said she bought more material than Andrea did.

Analyze Look at how Elaina solved the problem. Find her error.

Use Math Language Describe Elaina’s error.

Answer:

No, Elaina and Andrea bought the same amount of material.

Explanation:

Andrea bought \(\frac{4}{8}\) of material and Elaina bought \(\frac{1}{2}\) of material. Therefore by comparing both we can say that both bought the same amount of material.

Question 8.

**H.O.T. Multi-Step** Jeff rode his bike around a bike trail that was \(\frac{1}{4}\) mile long. He rode around the trail 4 times. Dexter rode around the trail 2 times. Complete the number line to show the distances that Jeff and Dexter rode.

Use Tools Did Dexter ride the same distance as Jeff? Explain how you know.

Answer:

No. Dexter rides the same distance as Jeff.

Explanation:

Jeff rode his bike at \(\frac{1}{4}\) mile long. He rode 4 trails. That means jeff rode at a fraction of \(\frac{4}{4}\).

Dexter rode around 2 trail times. That means Dexter rode \(\frac{2}{4}\).

**Daily Assessment Task**

**Fill in the bubble for the correct answer choice.**

**Use a number line to help solve the problem.**

Question 9.

A sloth moves \(\frac{1}{4}\) meter each second on the ground. How far does the sloth move in 4 seconds?

(A) 1 meter

(B) \(\frac{1}{2}\) meter

(C) 2 meters

(D) \(\frac{1}{4}\) meter

Answer:

1 meter

Explanation:

The sloth moves 11 meter in 4 seconds.

**Go Math Fractions in Measurement Grade 3 Question 10.**

On weekends, Salma’s family hikes at the state park. They hike \(\frac{1}{4}\) of a mile every 30 minutes. How much of a mile do they hike in 90 minutes?

(A) \(\frac{1}{2}\) mile

(B) \(\frac{1}{4}\) mile

(C) \(\frac{3}{4}\)mile

(D) 1 mile

Answer:

\(\frac{3}{4}\)mile

Explanation:

They hike \(\frac{3}{4}\)mile in 90 minutes.

Question 11.

**Multi-Step** *

(A) \(\frac{2}{8}\)

(B) \(\frac{5}{8}\)

(C) \(\frac{8}{8}\)

(D) \(\frac{3}{8}\)

Answer:

\(\frac{8}{8}\)

**Texas Test Prep**

Question 12.

Which fraction is the farthest distance from zero?

(A) \(\frac{1}{4}\)

(B) \(\frac{1}{2}\)

(C) \(\frac{2}{4}\)

(D) \(\frac{6}{8}\)

Answer:

\(\frac{6}{8}\)

Explanation:

The fraction is the farthest distance from zero is \(\frac{6}{8}\).

### Texas Go Math Grade 3 Lesson 18.4 Homework and Practice Answer Key

**Use the number line to find which fraction is farthest from zero or the same distance.**

Question 1.

\(\frac{2}{8}\) and \(\frac{1}{4}\)

Answer:

The given fraction has same distance.

Explanation:

\(\frac{2}{8}\) and \(\frac{1}{4}\) has a same distance.

Question 2.

\(\frac{3}{8}\) and \(\frac{2}{4}\)

Answer:

\(\frac{2}{4}\) is farthest from zero.

Explanation:

The given fraction \(\frac{2}{4}\) is farthest from zero.

Question 3.

\(\frac{3}{4}\) and \(\frac{5}{8}\)

Answer:

\(\frac{5}{8}\) is farthest from zero.

Explanation:

The given fraction \(\frac{5}{8}\) is farthest from zero.

**Go Math Measuring Fractions Lesson 18.4 Grade 3 Question 4.**

\(\frac{7}{8}\) and \(\frac{3}{4}\)

Answer:

\(\frac{7}{8}\)

Explanation:

The given fraction \(\frac{7}{8}\) is farthest from zero.

Question 5.

\(\frac{5}{8}\) and \(\frac{1}{4}\)

Answer:

\(\frac{5}{8}\)

Explanation:

The given fraction \(\frac{5}{8}\) is farthest from zero.

Question 6.

\(\frac{3}{4}\) and \(\frac{6}{8}\)

Answer:

The both given fractions has same distance.

Explanation:

The given fractions \(\frac{3}{4}\) and \(\frac{6}{8}\) has same distance which are in the number line.

**Problem Solving**

Question 7.

Harley and Noreen were making kites. Harley has \(\frac{3}{4}\) of a yard of yellow kite string. Noreen has \(\frac{6}{8}\) of a yard of green kite string. She says that she has more kite string than Harley. How can Harley draw a number line to show that Noreen is incorrect? Write a sentence to explain how you solved the problem.

Answer:

No, the statement is incorrect.

Explanation:

They both have the same amount of string. As Harley has \(\frac{3}{4}\) of a yard of yellow string. Noreen has \(\frac{6}{8}\) of a yard of the green kite. Hence they both have the same amount of string.

Question 8.

Harley gets another \(\frac{1}{8}\) yard of kite string. How much string does he have now?

Answer:

\(\frac{7}{8}\)

Explanation:

As Harley has \(\frac{3}{4}\) and another \(\frac{1}{8}\) yard. Therefore the string he has now is \(\frac{3}{4}\)+\(\frac{1}{8}\) = \(\frac{3}{4}\).

**Lesson Check**

**Fill in the bubble completely to show your answer.**

Question 9.

A flock of geese fly \(\frac{1}{4}\) mile every 20 minutes. How far do the geese travel in 1 hour?

(A) \(\frac{3}{4}\) mile

(B) \(\frac{1}{4}\) mile

(C) \(\frac{2}{4}\) mile

(D) \(\frac{4}{4}\) mile

Answer:

\(\frac{3}{4}\) mile

Explanation:

\(\frac{1}{4}\) in 20 minutes

The geese travel in 1 hour is \(\frac{3}{4}\) mile.

Question 10.

Adam uses an inch ruler to measure and cut the ribbon for an art project. Which statement best describes the pieces that are \(\frac{3}{4}\) inch and \(\frac{7}{8}\) inch?

(A) the \(\frac{3}{4}\) inch piece is farther from zero on the ruler

(B) the pieces are the same distance from zero on the ruler

(C) the \(\frac{7}{8}\) inch piece is farther from zero on the ruler

(D) the \(\frac{7}{8}\) inch piece is closer to zero on the ruler

Answer:

the \(\frac{7}{8}\) inch piece is farther from zero on the ruler

**Go Math Grade 3 Lesson 18.4 Homework Answers Question 11.**

**Multi-Step** An ant travels \(\frac{1}{8}\) yard to an anthill every second. How far does the ant go in 6 seconds?

(A) \(\frac{3}{4}\) yard

(B) \(\frac{1}{4}\) yard

(C) \(\frac{2}{4}\) yard

(D) \(\frac{7}{8}\) yard

Answer:

\(\frac{3}{4}\) yard

Explanation:

For 1 secondÂ an ant traveled \(\frac{1}{8}\)

For 6 second the ant travelled for \(\frac{3}{4}\) yard

Question 12.

**Multi-Step** Edwin runs \(\frac{1}{8}\) mile around a track in 2 minutes. He runs for 4 minutes. Then he walks for another \(\frac{3}{8}\) mile. How far does Edwin go around the track?

(A) \(\frac{3}{8}\) mile

(B) \(\frac{4}{8}\) mile

(C) \(\frac{2}{8}\) mile

(D) \(\frac{5}{8}\) mile

Answer: