Question

Write the sum of 1/2+1/6+1/12+1/20​

Answer 1

11/12

Explanation:

Answer 2

`\sf (4)/(5)`

Explanation:

• Find the LCM of the denominators 2,6,12,20

LCM = 60

• Find equivalent fraction using the LCM 60.

`\sf (1)/(2)=(1*30)/(2*30)=(30)/(60)\\\\\\(1)/(6)=(1*10)/(6*10)=(10)/(60)\\\\\\(1)/(12)=(1*5)/(12*5)=(5)/(60)\\\\\\(1)/(20)=(1*3)/(20*3)=(3)/(60)`

• Now add.

`\sf (1)/(2)+(1)/(6)+(1)/(12)+(1)/(20)=(30+10+5+3)/(60)`

`\sf =(48)/(60)\\\\\\=(4)/(5)\\\\`