Fill in the following blanks:
$ \frac{15}{18}=\frac{\square}{6}=\frac{10}{\square}=\frac{\square}{30} $ [Are these equivalent ratios?]
To do:
We have to fill in the given blanks.
Solution:
By simplifying $\frac{15}{18}$
We get,
$=\frac{3\times5}{3\times6}$
$=\frac{5}{6}$
Now, by multiplying the numerator and denominator of $\frac{5}{6}$ by 2
we get,
$=\frac{5\times2}{6\times2}$
$=\frac{10}{12}$
Further, by multiplying the numerator and denominator of $\frac{5}{6}$ by 5
we get,
$=\frac{5\times5}{6\times5}$
$=\frac{25}{30}$
Therefore,
The blanks can be filled by 5, 12and 25 respectively.
Hence the given ratios are equivalent.
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