Question

Nina wants to divide two-thirds of her garden into four equal parts. Explain how to use equivalent fractions to solve the problem.

Answer 1

The quarter size is each plot must now be 1/6 of the original amount.
Remark
You are going to have to somehow divide 2/3 by 4.

My way of doing that is to put a 1 underneath the 4 creating the fraction 4/1 which is equivalent to 4.

Solve

$\dfrac{\dfrac{2}{3}}{\dfrac{4}{1} }$ 

The fractions can now obey the fraction divided by fraction rule.

Take the second fraction and invert and multiply it by the first fraction.

$\dfrac{2}{3} * \dfrac{1}{4}$

What you get (after cancellation) is 1/6