Add 7/35 and 21/24
7/35 + 21/24 is 43/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 24 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 35 × 24 = 840,
7/35 = 7 × 24/35 × 24 = 168/840 - Likewise, for the 2nd fraction, since 24 × 35 = 840,
21/24 = 21 × 35/24 × 35 = 735/840 - Add the two like fractions:
168/840 + 735/840 = 168 + 735/840 = 903/840 - 903/840 simplified gives 43/40
- So, 7/35 + 21/24 = 43/40
In mixed form: 13/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/35+21/24 7/35+42/24 7/70+21/24 7/35+21/48 21/35+21/24 7/35+63/24 7/35+21/72 49/35+21/24