Question

Radhika finishes 2/7of her holiday homework in the first week and 3/5 in the second week. What part of the homework remains to be finished in the third and fourth weeks of her holidays?

Answer 1

Hey!!

Let us take the total home work as ' x '

Finished 2 ÷ 7 on first week

Finished 3 ÷ 5 on second week

If we add them

( 2 ÷ 7 ) + ( 3 ÷ 5 )

LCM = 35

10 + 21 ÷ 35

31 ÷ 35

Now, home work left =

1 - ( 31 ÷ 35 )

LCM = 35

35 - 31 ÷ 35

4 ÷ 35 home work is left

Hope my answer helps!

#PeaceOut

#FIERCE

Answer 2

Let the whole part be x

Radhika finishes 2/7 of x in 1st week
$= \frac{2x}{7}$


She finishes 3/5 of x in 2nd week
$= \frac{3x}{5}$


Adding 1st week and 2nd week,
$= \frac{2x}{7} + \frac{3x}{5} \\ \\ taking \: \: lcm \: \: 35 \\ \\ = \frac{(10x + 21x)}{35} \\ \\ = \frac{31x}{35}$


Now,
remaining part to complete is,

$x - \frac{31x}{35} \\ \\ taking \: \: lcm \: \: 35 \\ \\ = \frac{35x - 31x}{35} \\ \\ = \frac{4x}{35} \\ \\ = \frac{4}{35} \: \: of \: \: x$

So, she have to complete 4/35 of total part in third and fourth week.