Question

What is 1 half plus 3 fifth plus 3 eighth

Answer 1

59/40

Explanation:

.5+3/5+3/8=1.475

1.475=1475/1000

1475/25 1000/25 = 59/40 or 1 19/40 as a mixed number

Answer 2

`(59)/(40)`

Explanation:

One half of a number can be written as
`(1)/(2)`

three fifth of a number can be written as
`(3)/(5)`

three eighth of a number can be written as
`(3)/(8)`

We have to find the sum of all three

which is

Sum =
`(1)/(2)+(3)/(5)+(3)/(8)`

No we have to make the denominator same for this we have to find the LCM of 2,5,8

Factors of 2 = 2

Factors of 5= 5

Factors of 8 = 2 * 2 * 2

LCM = 2 * 5 * 2 * 2

=40

Multiplying and dividing Every term with 40 for making the denominator same

Sum =
`(40*1)/(2*40)+(3*40)/(5*40)+(3*40)/(8*40)`

Cancelling out the terms

Sum =
`(20*1)/(40)+(3*8)/(40)+(3*5)/(40)`

Sum =
`(20)/(40)+(24)/(40)+(15)/(40)`

Adding the terms of numerator

Sum =
`(20+24+15)/(40)`

Sum =
`(59)/(40)` this is the answer of the required