Question

Which equation represents the unit fraction shown in the diagram?

Answer 1

What grade are you in?

Answer 2

6th grade

Answer 3

Suppose you are given a fraction \(\dfrac{a}{b}\) such that \(a = b \times c\) and \(b = d \times c\), then the fraction can be reduced in the following manner:
\[\begin{align*}
\dfrac{a}{b} = \dfrac{(b)(c)}{(d)(c)} = \dfrac{b}{d}
\end{align*}\]

Answer 4

Your goal is to find the \(c\) value that is common to both \(a\) and \(b\) so that you can reduce the fraction.

Answer 5

In other words, in this case \(a = 20\) and \(b = 100\). What is the \(c\) value that is common to both 20 and 100?