Question

Fill in the blanks.

$\frac{15}{18}=\frac{\square }{6}=\frac{\square }{30}$

Answer 1

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

Given, $\frac{15}{18}=\frac{\square }{6}=\frac{\square }{30}$

$18$ can be factorised $=3\times 6$

Similarly $15=3\times 5$

In first part, as $6$ is mentioned in denominator i.e., $3$ as common factor is eliminated,

Thus, in the first block $5$ is correct value.

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

Since Simplified ratio is $\frac{5}{6}$

As $30$ is mentioned in denominator i.e. $6\times 5=30$

so in numerator, the value will have common factor as $5$ i.e. $5\times 5=25$

Thus, in the second block $25$ is correct value.