Question

7/8 x+ 3/4 x+ 7/16 x− 1/16 = 5/8

Answer 1

Answer:

Therefore $x =\frac{1}{3}$

Step-by-step explanation:

$\frac{7}{8} x+\frac{3}{4} x+\frac{7}{16} x-\frac{1}{16} =\frac{5}{8}$

$\Leftrightarrow \frac{7}{8} x+\frac{3}{4} x+\frac{7}{16} x =\frac{5}{8}+\frac{1}{16}$

$\Leftrightarrow \frac{14x+12x+7x}{16} =\frac{10+1}{16}$         [ L.C.M of 8,4,16 =16 and  L.C.M of 8,16 =16]

$\Leftrightarrow \frac{33x}{16} =\frac{11}{16}$

$\Leftrightarrow x =\frac{11\times 16}{16\times 33}$

$\Leftrightarrow x =\frac{1}{3}$

Therefore $x =\frac{1}{3}$