Add 21/24 and 75/35, Solve 21/24 + 2 5/35 as a fraction

Add 21/24 and 75/35

1^st number: 21/24, 2^nd number: 2 5/35

21/24 + 75/35 is 169/56.

Find the least common denominator or LCM of the two denominators:
LCM of 24 and 35 is 840

Next, find the equivalent fraction of both fractional numbers with denominator 840
For the 1st fraction, since 24 × 35 = 840,
21/24 = 21 × 35/24 × 35 = 735/840
Likewise, for the 2nd fraction, since 35 × 24 = 840,
75/35 = 75 × 24/35 × 24 = 1800/840
Add the two like fractions:
735/840 + 1800/840 = 735 + 1800/840 = 2535/840
2535/840 simplified gives 169/56
So, 21/24 + 75/35 = 169/56
In mixed form: 31/56

MathStep (Works offline)

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