Question

Brandi solved 16 / 5 by using a related multiplication expression. What multiplication expression did she is?

Answer 1

The given question is wrong.

Question:

Brandi solved $\frac{1}{6}\div 5$ by using a related multiplication expression. What multiplication expression did she is?

Answer:

The related multiplication expression is  $\frac{1}{6}\times \frac{1}{5}$.

Solution:

Given expression is $\frac{1}{6}\div 5$.

We can write 5 as a fraction with denominator 1.

$\frac{1}{6}\div5=\frac{1}{6}\div \frac{5}{1}$

Using the fraction rule  $\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$,

$\frac{1}{6}\div \frac{5}{1}=\frac{1}{6}\times \frac{1}{5}$

Now multiply the fractions using the rule $\frac{a}{b}\times \frac{d}{c}=\frac{a\times d}{b\times c}$,

$\frac{1}{6}\times \frac{1}{5}=\frac{1\times1}{6\times5}$

Let us multiply the numbers in the numerator and denominator separately, we get

$\frac{1\times1}{6\times5}=\frac{1}{30}$

Hence the related multiplication expression is  $\frac{1}{6}\times \frac{1}{5}$.