Question

using division, select all the fractions that are equivalent to \\(\frac{30}{40}\\). (1 point) \\(\frac{5}{10}\\) \\(\frac{5}{8}\\) \\(\frac{3}{4}\\) \\(\frac{12}{15}\\) \\(\frac{6}{8}\\)

Explanation:

First, simplify $\frac{30}{40}$ by dividing numerator and denominator by 10: $\frac{30\div10}{40\div10}=\frac{3}{4}$. Now check each fraction:

Step1: Check $\frac{5}{10}$

Simplify: $\frac{5\div5}{10\div5}=\frac{1}{2}
eq\frac{3}{4}$.

Step2: Check $\frac{5}{8}$

It is already in simplest form, $\frac{5}{8}
eq\frac{3}{4}$.

Step3: Check $\frac{3}{4}$

It is equal to $\frac{3}{4}$.

Step4: Check $\frac{12}{15}$

Simplify: $\frac{12\div3}{15\div3}=\frac{4}{5}
eq\frac{3}{4}$.

Step5: Check $\frac{6}{8}$

Simplify: $\frac{6\div2}{8\div2}=\frac{3}{4}$, which is equal to $\frac{3}{4}$.

Answer:

The fractions equivalent to $\frac{30}{40}$ (which simplifies to $\frac{3}{4}$) are $\frac{3}{4}$ and $\frac{6}{8}$. So the correct options are:

• $\boldsymbol{\frac{3}{4}}$
• $\boldsymbol{\frac{6}{8}}$