Question 1

The product of $\frac{3}{8}$ and any whole number is less than the whole number. Which statement about the fraction $\frac{3}{8}$ is a reason why this is true?

Accepted Answer

The denominator is greater than the numerator.

Answer

The numerator is greater than 1.

Answer

The difference between the denominator and the numerator is greater than the
numerator

Answer

The denominator is greater than 1.

Question 2

Kaitlin walked the length of a path in a park $3$ times. The total distance she walked was less than $1$ mile. What must be true about the length of the path in the park?

Accepted Answer

The length of the path must be shorter than $\frac{1}{3}\,	ext{mile}$.

Answer

The length of the path must be between $\frac{1}{3}\,	ext{mile}$ and $1\,	ext{mile}$.

Answer

The length of the path must be longer than $3\,	ext{miles}$.

Answer

The length of the path must be between $1$ and $3\,	ext{miles}$.

Question 3

Sophie had 60 flashlights for sale at her store. She sold $\frac{4}{5}$ of the flashlights. Which statement about the number of flashlights sold must be true?

Accepted Answer

Sophie sold 48 flashlights because $60 	imes \frac{4}{5}=48$

Answer

Sophie sold 40 flashlights because both the numerator and the denominator of $\frac{4}{5}$ are factors of both 40 and 60.

Answer

Sophie sold 52 flashlights because  $\frac{4}{5}=0.8$ and $60-8=52$.

Answer

Sophie sold 75 flashlights because $60 \div \frac{4}{5}=75$

Question 4

Two expressions are described below.

$\qquad$ expression R: multiply $35$ by $\frac{6}{5}$
$\qquad$ expression S: multiply $35$ by $\frac{3}{4}$

Based on the descriptions, which statement is true?

Accepted Answer

The value of expression $	ext R$ is greater than $35$ because  $\frac{6}{5} > 1$.

Answer

The value of expression $	ext R$ is greater than $35$ because  $\frac{6}{5} < 1$.

Answer

The value of expression $	ext S$ is greater than $35$ because  $\frac{3}{4} > 1$.

Answer

The value of expression $	ext S$ is greater than $35$ because  $\frac{3}{4} < 1$.

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