The fractions $$\frac{2}{3}$$ , $$\frac{5}{8}$$ , and $$\frac{9}{14}$$ are to be compared. What is the first step in comparing these fractions?

Compare each fraction to a benchmark fraction like $$\frac{1}{2}$$ .

Three friends are comparing the distance they cycled in the last week. Emily cycled $$4 \frac{3}{4}$$ miles, Liam cycled $$4 \frac{2}{5}$$ miles, and Noah cycled $$4 \frac{7}{8}$$ miles. Which explanation BEST describes how to order the distance cycled of the three friends from least to greatest?

$$\frac{3}{4}$$ is greater than $$\frac{2}{5}$$ because fourths are bigger than fifths and there are three of each. $$\frac{7}{8}$$ is greater than $$\frac{3}{4}$$ because $$\frac{7}{8}$$ is greater than $$\frac{6}{8}$$ . The distance cycled from least to greatest is Liam, Emily, Noah.

$$\frac{3}{4}$$ is greater than $$\frac{2}{5}$$ because fourths are bigger than fifths. $$\frac{7}{8}$$ is greater than $$\frac{2}{5}$$ because fifths are bigger than eighths. The distance cycled from least to greatest is Noah, Liam, Emily.

$$\frac{2}{5}$$ is greater than $$\frac{3}{4}$$ because fifths are bigger than fourths. $$\frac{7}{8}$$ is greater than $$\frac{2}{5}$$ because eighths are bigger than fifths. The distance cycled from least to greatest is Emily, Liam, Noah.

$$\frac{2}{5}$$ is greater than $$\frac{3}{4}$$ because fifths are bigger than fourths and there are two of each. $$\frac{7}{8}$$ is greater than $$\frac{7}{10}$$ because $$\frac{7}{10}$$ is greater than $$\frac{7}{8}$$ . The distance cycled from least to greatest is Noah, Emily, Liam.

Which of the following fractions has a value between $$\frac{2}{5}$$ and $$\frac{5}{5}$$ , and why?

$$\frac{3}{5}$$ - This is because $$\frac{2}{5}$$ is less than $$\frac{3}{5}$$ and $$\frac{5}{5}$$ is greater than $$\frac{3}{5}$$ .

$$\frac{1}{5}$$ - This is because $$\frac{2}{5}$$ is less than $$\frac{1}{5}$$ and $$\frac{5}{5}$$ is greater than $$\frac{1}{5}$$ .

$$\frac{6}{5}$$ - This is because $$\frac{2}{5}$$ is less than $$\frac{6}{5}$$ and $$\frac{5}{5}$$ is greater than $$\frac{6}{5}$$ .

$$\frac{2}{6}$$ - This is because $$\frac{2}{5}$$ is less than $$\frac{2}{6}$$ and $$\frac{5}{5}$$ is greater than $$\frac{2}{6}$$ .

Which statement about the graph is FALSE?

Less than half of the students traveled by bus or train.

More students traveled by car than by bike.

The number of students who walked was less than those who took the train.

The number of students who traveled by bus was greater than those who traveled by car or bike.

Practice Unit 4 Test

Quiz

•

Mathematics

•

5th Grade

•

Practice Problem

•

Hard

•

CCSS

3.NF.A.3

Standards-aligned

Bianca Williams

Used 5+ times

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find a common denominator for all fractions.

Order the fractions by the size of their numerators.

Look at the denominators to find the smallest fraction.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

6.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How did Garrett MOST LIKELY determine the total rainfall over the two days?

Garrett multiplied the data from Monday and Wednesday without finding a common denominator.

Garrett added the data for Monday and Wednesday and then simplified the result.

Garrett found a common denominator of 3 and then added Monday's measurement to Wednesday's.

Using the data from Monday and Wednesday, Garrett found a common denominator, added, and then simplified the result.

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