Question

Which of the following pairs are equivalent ?

$\frac{105}{85},\frac{30}{60}$

Answer 1

Checking whether the fractions are equivalent or not :

Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value.

$$\begin{gathered} \frac{105}{85}=\frac{105÷5}{85÷5}=\frac{21}{13}[\mathrm{Dividing}\mathrm{num}.\mathrm{and}\mathrm{den}.\mathrm{by}5] \\ \frac{30}{60}=\frac{30÷30}{60÷30}=\frac{1}{2}[\mathrm{Dividing}\mathrm{num}.\mathrm{and}\mathrm{den}.\mathrm{by}30] \end{gathered}$$

Since, $\frac{21}{13}\ne \frac{1}{2}$

Hence, $\frac{105}{85},\frac{30}{60}$ are not equivalent fractions.