Question

Find whether the two fractions are equivalent or not.

$\frac{45}{81}$ and $\frac{55}{64}$

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.

Given fractions are $\frac{45}{81}$ and $\frac{55}{64}$

Using the cross-product method.

$$\begin{gathered} 45\times 64=2880 \\ 55\times 81=4455 \end{gathered}$$

After cross product, we will get

$$\begin{gathered} 45\times 64\ne 55\times 81 \\ 2880\ne 4455 \end{gathered}$$

Therefore, the given not fractions are equivalent. i,e $\frac{45}{81}\ne \frac{55}{64}$