Question

Q 1) Simplify the following rational
expressions:
(2/4 * 2/5)-(2/14*-1/7)+(1/14*9/2​

Answer 1

Answer:

$\frac{341}{980}$

Step-by-step explanation:

$( \frac{2}{4} \times \frac{2}{5} ) - ( \frac{2}{14} \times \frac{ - 1}{7} ) + ( \frac{1}{14} \times \frac{9}{2} )$

$\frac{1}{5} - ( \frac{ - 2}{98} ) + ( \frac{9}{28} )$

$\frac{1}{5} + \frac{2}{98} + \frac{9}{28}$

$\frac{196 + 10 + 35}{980}$

$\frac{341}{980}$

Answer 2

251 / 980.

Step-by-step explanation:

(2/4 × 2/5) - (2/14 × -1/7) + (1/14 × 9/2)

= (4/ 20) - (-2/ 98) + (9/28)

{ Multiplying the numerators and the denominators }.

= 1/5 + 1/49 + 9/28.

{ Reducing the denominators and the numerators }.

= (196 + 20 + 35) / 980

{ Taking the LCM }.

= 251 / 980.