Solve the following:

$\frac{-3}{....}=\frac{6}{-16}=\frac{....}{24}$

Given :

The given expression is $\frac{-3}{....}=\frac{6}{-16}=\frac{....}{24}$.

To do :

We have to find unknown values in the given expression.

Solution :

Equivalent fractions:

Equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.

Therefore,

Let the unknown values be x and y.

$\frac{-3}{x} = \frac{6}{-16}$

$(-3)(-16) = 6(x)$

$48 = 6x$

$x = \frac{48}{6}$

$x = 8$.

$\frac{6}{-16} = \frac{y}{24}$

$6(24) = y(-16)$

$144 = -16y$

$y = \frac{144}{-16}$

$y = \frac{-144}{16}$

$y = -9$

Therefore,

$\frac{-3}{8} = \frac{6}{-16} = \frac{-9}{24}$.

Therefore, the unknown values are 8 and $-9$.

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Updated on: 10-Oct-2022

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