What number must be subtracted from 1-4 to get 1-2 -

The correct option is B 1/4 Let the number be x. Then, 1/4 x = 1/2 x = 1/4 1/2 LCM of 2 and 4 is 4 So make denominators of both the fraction as 4. x = 1/ ...

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Standard VIII

Mathematics

Equations Reducible to the Linear Form

What number m...

Question

What number must be subtracted from $\frac{1}{4}$ to get $\frac{1}{2}$ ?

1/2

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-1/4

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-1

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Solution

The correct option is B
-1/4

Let the number be $x$ .

Then, $\frac{1}{4} - x = \frac{1}{2}$

$x = \frac{1}{4} - \frac{1}{2}$

LCM of 2 and 4 is 4
So make denominators of both the fraction as 4.

$x = \frac{1}{4} - \frac{1 \times 2}{2 \times 2}$

$x = \frac{1}{4} - \frac{2}{4}$

$x = \frac{1 - 2}{4} = \frac{- 1}{4}$ .

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The correct option is B -1/4 Let the number be x. Then, 14−x=12 x=14−12 LCM of 2 and 4 is 4 So make denominators of both the fraction as 4. x=14−1×22×2 x=14−24 x=1−24=−14.

What number must be subtracted from $\frac{1}{4}$ to get $\frac{1}{2}$ ?