Add 30/49 and 32/24, Solve 30/49 + 1 8/24 as a fraction

Add 30/49 and 32/24

1^st number: 30/49, 2^nd number: 1 8/24

30/49 + 32/24 is 286/147.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 24 is 1176

Next, find the equivalent fraction of both fractional numbers with denominator 1176
For the 1st fraction, since 49 × 24 = 1176,
30/49 = 30 × 24/49 × 24 = 720/1176
Likewise, for the 2nd fraction, since 24 × 49 = 1176,
32/24 = 32 × 49/24 × 49 = 1568/1176
Add the two like fractions:
720/1176 + 1568/1176 = 720 + 1568/1176 = 2288/1176
2288/1176 simplified gives 286/147
So, 30/49 + 32/24 = 286/147
In mixed form: 1139/147

MathStep (Works offline)

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