Question

Explain why 1 13/7 does not represent a ratio and 1 3/7 : 3/7 does represent a ratio. Then tell how you express 1 3/7 as a ratio.

Answer 1

$1\frac{13}{7}$$\frac{1\frac{3}{7}}{\frac{3}{7}}$

It is not a ratio because it should not be expressed as a mixed number

so you can express the mixed number like a fraction

$\begin{gathered} 1\frac{13}{7} \\ \frac{(7\times1)+13}{7} \\ \frac{7+13}{7} \\ \\ =\frac{20}{7} \end{gathered}$

20/7 is a ratio because is a fraction, the division between two numbers