Question

What number is bigger than 5/16 by the same amount that 1 1/8 is less than 1 1/4 ?

Answer 1

Let the number be 'x'.

According to the question,

$\frac{5}{16}+x = 1 \frac{1}{4} - 1 \frac{1}{8}$

$\frac{5}{16}+x = \frac{5}{4} -\frac{9}{8}$

Since, LCM of 4 and 8 is '8'.

$\frac{5}{16}+x = \frac{10-9}{8}$

$\frac{5}{16}+x = \frac{1}{8}$

$x = \frac{1}{8} - \frac{5}{16}$

LCM of 8 and 16 is 16.

$x = \frac{2-5}{16}$

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

Therefore,$\frac{-3}{16}$ is bigger than $\frac{5}{16}$ by the same amount that $1\frac{1}{8}$ is less than $1\frac{1}{4}$.