Question

x=1/4; y =3/20 then find (x+y)÷(x-y)​

Answer 1

Answer:

$\frac{1}{25}$

Step-by-Step Explanation:

$x=\frac{1}{4},y=\frac{3}{20} \\Find (x+y) divided-by (x-y)$

1st Step

Add x and y.

$\frac{1}{4} +\frac{3}{20} \\\\ LCM of 4,20 = 20\\\\ = \frac{5(1)+3(1)}{20} \\\\ =\frac{5+3}{20} \\\\ =\frac{8}{20} \\\\ = \frac{2}{5}$

Step 2

Subtract x and y.

$\frac{1}{4} -\frac{3}{20} \\\\ LCM of 4,20 =20\\\\ = \frac{5(1)-3(1)}{20} \\\\ = \frac{5-3}{20} \\\\ = \frac{2}{20} \\\\ = \frac{1}{10}$

Step 3

Divide both.

$\frac{2}{5} divided,by \frac{1}{10} \\\\( \frac{a}{b} divided.by\frac{c}{d} = \frac{a}{b} X \frac{d}{c} )\\\\ = \frac{2}{5} X\frac{1}{10} \\\\ = \frac{1}{25}$