Question

Fill in the following blanks.

$\frac{15}{18}=\frac{▫}{6}=\frac{10}{▫}=\frac{▫}{30}$

• A. $$\begin{gathered} \frac{15}{18}=\frac{5}{6}, \\ \frac{5}{6}=\frac{10}{12} \end{gathered}$$
• B. $\frac{5}{6}=\frac{25}{30}$

Answer 1

The given ratio is $\frac{15}{18}$ , We have to find an equivalent ratio with a denominator $6$

Now, $18÷3=6$

Clearly, denominator 18 is divided by 3. So, numerator 15 must be divided by 3,

i.e, $15÷3=5$

Thus, $\frac{15}{18}=\frac{15÷3}{18÷3}=\frac{5}{6}$

Hence, the first missing number is $5$

Again to find the second missing number, we have $\frac{5}{6}=\frac{10}{▫}$

Clearly, the numerator is multiplied by $2$

i.e, $5\times 2=10$

So, denominator 6 must be multiplied by $2$

i.e, $6\times 2=12$

Then, $\frac{5}{6}=\frac{5\times 2}{6\times 2}=\frac{10}{12}$

Hence the second missing number is $12$

Again to find the third missing number, we have $\frac{5}{6}=\frac{▫}{30}$

Clearly, the denominator $6$ is multiplied by $5$

i.e, $6\times 5=30$

So, the numerator must be multiplied by $5$

i,e $5\times 5=25$

Thus, $\frac{5}{6}=\frac{5\times 5}{6\times 5}=\frac{25}{30}$

Hence the third missing number is $25$