Add 30/7 and 3/96, Solve 4 2/7 + 3/96 as a fraction

Add 30/7 and 3/96

1^st number: 4 2/7, 2^nd number: 3/96

30/7 + 3/96 is 967/224.

Find the least common denominator or LCM of the two denominators:
LCM of 7 and 96 is 672

Next, find the equivalent fraction of both fractional numbers with denominator 672
For the 1st fraction, since 7 × 96 = 672,
30/7 = 30 × 96/7 × 96 = 2880/672
Likewise, for the 2nd fraction, since 96 × 7 = 672,
3/96 = 3 × 7/96 × 7 = 21/672
Add the two like fractions:
2880/672 + 21/672 = 2880 + 21/672 = 2901/672
2901/672 simplified gives 967/224
So, 30/7 + 3/96 = 967/224
In mixed form: 471/224

MathStep (Works offline)

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