Question

Find the value of x. 7 9/13 of x=8

Answer 1

100/13×x=8
100x/13=8
100x=8×13
100x=104
x=104/100
x=26/25

Answer 2

Value of x = $1\dfrac{1}{25}$

Given:

$7\dfrac{9}{13}$ of x = 8

To find:

The value of x

Concept:

We must know that, in simple algebraic operations, 'of' means 'multiplication' (×).

Step-by-step explanation:

First we convert the given mixed fraction into an improper fraction.

$7\dfrac{9}{13}$

= $\dfrac{7\times13+9}{13}$

= $\dfrac{91+9}{13}$

= $\dfrac{100}{13}$

We use the operation 'of' now and find the value of the left hand side.

$7\dfrac{9}{13}$ of x

= $\dfrac{100}{13}$ of x

= $\dfrac{100}{13}$ × x

We use the given condition and find the value of x.

Given, $7\dfrac{9}{13}$ of x = 8

➜ $\dfrac{100}{13}$ × x = 8

➜ x = $\dfrac{8\times 13}{100}$

➜ x = $\dfrac{104}{100}$

➜ x = $\dfrac{26}{25}$

➜ x = $1\dfrac{1}{25}$

Thus the value of x is $1\dfrac{1}{25}$

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