Question 1

Daniel shaded these two number lines to model two different fractions. Based on the number lines, which comparison is true?

Accepted Answer

$\frac{1}{3}<\frac{1}{2}$

Answer

$\frac{1}{3}=\frac{1}{2}$

Answer

$\frac{2}{3}<\frac{1}{2}$

Answer

$\frac{1}{3}>\frac{1}{2}$

Question 2

The models shown are the same size and are each divided into equal parts. The models are shaded to show two fractions. Based on the models, which statement is true?

Accepted Answer

$\frac{2}{3}$ is greater than $\frac{2}{8}$ because $2$ shaded parts out of $3$ parts is greater than $2$ shaded parts out of $8$ parts

Answer

$\frac{1}{3}$ is greater than  $\frac{6}{8}$ because thirds are larger than eighths

Answer

$\frac{2}{3}$ is less than $\frac{2}{8}$ because thirds are smaller than eighths

Answer

$\frac{1}{3}$ is less than$\frac{2}{8}$ because $1$ shaded part out of $3$ parts is less than $2$ shaded parts out of $8$ parts

Question 3

Bailey and Dylan each had pies that were the same size. Bailey ate $\frac{1}{3}$ of his pie.  Dylan ate $\frac{1}{4}$ of his pie. Which statement is true?

Accepted Answer

Bailey ate more pie, because each slice of a pie cut into $3$ equal parts is larger than each slice of a pie cut into $4$ equal parts.

Answer

Dylan ate more pie, because a denominator of $4$ is larger than a denominator of $3.$

Answer

The boys ate the same amount of pie, because both fractions have a numerator of $1.$

Answer

There is not enough information to determine who ate more pie.

Question 4

Lily is painting two identical walls. The models are shaded to represent the fraction of each wall that is painted purple. Which comparison of these fractions is true?

Accepted Answer

$\frac{3}{6}>\frac{1}{6}$

Answer

$\frac{3}{6} <\frac{1}{6}$

Answer

$\frac{3}{6}=\frac{5}{6}$

Answer

$\frac{3}{6}>\frac{5}{6}$

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