Solve the following:
$\frac{9}{2} \times \frac{7}{...} = \frac{63}{16}$

Given :

The given expression is $\frac{9}{2} \times \frac{7}{...} = \frac{63}{16}$

To do:

We have to find the unknown value.

Solution :

Let the unknown value be x.

$\frac{9}{2} \times \frac{7}{x} = \frac{63}{16}$

Multiply numerators and the denominators,

$\frac{63}{2x} = \frac{63}{16} $

Cross multiply,

$63 \times 16 = 63 \times 2x $

Rewrite,

$63 \times 2x = 63 \times 16$

$ 2x = \frac{63 \times 16}{63}$

$2x = 16$

$x = \frac{16}{2}$

$x = 8$.

The value of x is 8.

Therefore, the unknown value in the given expression is 8.

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Updated on: 10-Oct-2022

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