Add 21/36 and 10/16
21/36 + 10/16 is 29/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 16 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 36 × 4 = 144,
21/36 = 21 × 4/36 × 4 = 84/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
10/16 = 10 × 9/16 × 9 = 90/144 - Add the two like fractions:
84/144 + 90/144 = 84 + 90/144 = 174/144 - 174/144 simplified gives 29/24
- So, 21/36 + 10/16 = 29/24
In mixed form: 15/24
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/36+10/16 21/36+20/16 21/72+10/16 21/36+10/32 63/36+10/16 21/36+30/16 21/36+10/48 21/36+50/16 21/36+10/80 21/36+70/16