Question

1. Use multiplication to find an equivalent fraction. 3/7= 2/9=2. Use division to find an equivalent fraction. 10/15= 12/21=

Answer 1

`\begin{gathered} (3)/(7)=(6)/(14) \\ (2)/(9)=(4)/(18) \\ (10)/(15)=(2)/(3) \\ (12)/(21)=(4)/(7) \end{gathered}`

Explanation:

1.

We multiply each numerator and denominator by 2 to find an equivalent fraction, just like that

`\begin{gathered} (3)/(7)\cdot(2)/(2)=(6)/(14)\rightarrow(3)/(7)=(6)/(14) \\ (2)/(9)\cdot(2)/(2)=(4)/(18)\rightarrow(2)/(9)=(4)/(18) \end{gathered}`

2.

In this case, what we will do is divide each fraction by a corresponding value to find the equivalent fraction.

`\begin{gathered} ((10)/(5))/((15)/(5))=(2)/(3)\rightarrow(10)/(15)=(2)/(3) \\ ((12)/(3))/((21)/(3))=(4)/(7)\rightarrow(12)/(21)=(4)/(7) \end{gathered}`