Add 21/84 and 30/32
21/84 + 30/32 is 19/16.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 32 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 84 × 8 = 672,
21/84 = 21 × 8/84 × 8 = 168/672 - Likewise, for the 2nd fraction, since 32 × 21 = 672,
30/32 = 30 × 21/32 × 21 = 630/672 - Add the two like fractions:
168/672 + 630/672 = 168 + 630/672 = 798/672 - 798/672 simplified gives 19/16
- So, 21/84 + 30/32 = 19/16
In mixed form: 13/16
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/84+30/32 21/84+60/32 21/84+30/64 63/84+30/32 21/84+90/32 21/84+30/96