Add 42/96 and 30/21
1st number: 42/96, 2nd number: 1 9/21
42/96 + 30/21 is 209/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 21 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 96 × 7 = 672,
42/96 = 42 × 7/96 × 7 = 294/672 - Likewise, for the 2nd fraction, since 21 × 32 = 672,
30/21 = 30 × 32/21 × 32 = 960/672 - Add the two like fractions:
294/672 + 960/672 = 294 + 960/672 = 1254/672 - 1254/672 simplified gives 209/112
- So, 42/96 + 30/21 = 209/112
In mixed form: 197/112
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/96+30/21 42/96+60/21 42/96+30/42 42/96+90/21 42/96+30/63