Add 21/36 and 75/56, Solve 21/36 + 1 19/56 as a fraction

Add 21/36 and 75/56

1^st number: 21/36, 2^nd number: 1 19/56

21/36 + 75/56 is 323/168.

Find the least common denominator or LCM of the two denominators:
LCM of 36 and 56 is 504

Next, find the equivalent fraction of both fractional numbers with denominator 504
For the 1st fraction, since 36 × 14 = 504,
21/36 = 21 × 14/36 × 14 = 294/504
Likewise, for the 2nd fraction, since 56 × 9 = 504,
75/56 = 75 × 9/56 × 9 = 675/504
Add the two like fractions:
294/504 + 675/504 = 294 + 675/504 = 969/504
969/504 simplified gives 323/168
So, 21/36 + 75/56 = 323/168
In mixed form: 1155/168

MathStep (Works offline)

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