Question

select all the values that are equivalent to $\frac{12}{7}$. a. $\frac{-12}{-7}$ b. $-5\frac{1}{7}$ c. $-1\frac{5}{7}$ d. $1\frac{5}{7}$ e. $\frac{-12}{-7}$

Explanation:

Step1: Simplify fraction options

For a fraction $\frac{a}{b}$, $\frac{-a}{-b}=\frac{a}{b}$. So, $\frac{- 12}{-7}=\frac{12}{7}$ and $\frac{-12}{-7}=\frac{12}{7}$.

Step2: Convert mixed - number to improper fraction

$-5\frac{1}{7}=-\frac{5\times7 + 1}{7}=-\frac{36}{7}$, $-1\frac{5}{7}=-\frac{1\times7+5}{7}=-\frac{12}{7}$, $1\frac{5}{7}=\frac{1\times7 + 5}{7}=\frac{12}{7}$.

Answer:

A. $\frac{-12}{-7}$, D. $1\frac{5}{7}$, E. $\frac{-12}{-7}$