Question

What is `3/4 + 5/8 + 1/6` in simplest form?

Answer 1

`37/24 = 1 13/24`

Explanation:

When adding fractions, they need to be written as equivalent fractions with the same denominator. (LCD)

Working though the multiples of the largest denominator is a quick way to find the LCD. Note that we do not even need to consider 4, because 4 is a factor of 8.

8, 16, 24, 32 ..... 24 will work for 4, 6 and 8

`3/4 +5/8 +1/6`

=`(3xx6)/(4xx6) + (5xx3)/(8xx3) + (1xx4)/(6xx4)`

=`(18+15+4)/24`

=`37/24 = 1 13/24`

Answer 2

`3/4+5/8+1/6=1 13/24`

Explanation:

`3/4+5/8+1/6` has denominators `4`, `8` and `6` and their GCD (or LCM) is `24`. Hence,

`3/4+5/8+1/6`

= `(3×6)/(4×6)+(5×3)/(8×3)+(1×4)/(6×4)`

= `18/24+15/24+4/24`

= `(18+15+4)/24`

= `(18+6+9+4)/24`

= `(24+13)/24`

= `24/24+13/24`

= `1 13/24`