# Fill in the following blanks:$\frac{15}{18}=\frac{\square}{6}=\frac{10}{\square}=\frac{\square}{30}$ [Are these equivalent ratios?]

AcademicMathematicsNCERTClass 6

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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.

Updated on 10-Oct-2022 13:36:48

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