Add 4/49 and 81/72, Solve 4/49 + 1 9/72 as a fraction

Add 4/49 and 81/72

1^st number: 4/49, 2^nd number: 1 9/72

4/49 + 81/72 is 473/392.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 72 is 3528

Next, find the equivalent fraction of both fractional numbers with denominator 3528
For the 1st fraction, since 49 × 72 = 3528,
4/49 = 4 × 72/49 × 72 = 288/3528
Likewise, for the 2nd fraction, since 72 × 49 = 3528,
81/72 = 81 × 49/72 × 49 = 3969/3528
Add the two like fractions:
288/3528 + 3969/3528 = 288 + 3969/3528 = 4257/3528
4257/3528 simplified gives 473/392
So, 4/49 + 81/72 = 473/392
In mixed form: 181/392

MathStep (Works offline)

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