Add 21/4 and 30/35
1st number: 5 1/4, 2nd number: 30/35
21/4 + 30/35 is 171/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 35 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 4 × 35 = 140,
21/4 = 21 × 35/4 × 35 = 735/140 - Likewise, for the 2nd fraction, since 35 × 4 = 140,
30/35 = 30 × 4/35 × 4 = 120/140 - Add the two like fractions:
735/140 + 120/140 = 735 + 120/140 = 855/140 - 855/140 simplified gives 171/28
- So, 21/4 + 30/35 = 171/28
In mixed form: 63/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/4+30/35 21/4+60/35 21/8+30/35 21/4+30/70 63/4+30/35 21/4+90/35 21/12+30/35 21/20+30/35 21/28+30/35