Add 30/24 and 27/40, Solve 1 6/24 + 27/40 as a fraction

Add 30/24 and 27/40

1^st number: 1 6/24, 2^nd number: 27/40

30/24 + 27/40 is 77/40.

Find the least common denominator or LCM of the two denominators:
LCM of 24 and 40 is 120

Next, find the equivalent fraction of both fractional numbers with denominator 120
For the 1st fraction, since 24 × 5 = 120,
30/24 = 30 × 5/24 × 5 = 150/120
Likewise, for the 2nd fraction, since 40 × 3 = 120,
27/40 = 27 × 3/40 × 3 = 81/120
Add the two like fractions:
150/120 + 81/120 = 150 + 81/120 = 231/120
231/120 simplified gives 77/40
So, 30/24 + 27/40 = 77/40
In mixed form: 137/40

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad