Question

Fill in the blanks.

$\frac{13}{15}=\frac{\square }{30}=\frac{39}{\square }$

Answer 1

Step 1:Finding equivalent ratio by multiplying from the common term.

$30$ can be factorised $=15\times 2$

Similarly multiplying $13$ by $2$ we will get $26$

In first part, as $30$ is mentioned in denominator i.e., $2$ as common multiple is applied,

So in the first block $26$ is correct value.

Step 2:Finding equivalent ratio by multiplying from the common term.

Since Simplified ratio is $\frac{13}{15}$

As $39$ is mentioned in numerator i.e. $13\times 3=39$

So in denominator, the value will have common factor as $3$ i.e. $15\times 3=45$

So in the second block $45$ is correct value.

Hence, $\frac{13}{15}=\frac{\mathbf{26}}{30}=\frac{39}{\mathbf{45}}$