Add 30/35 and 42/56
30/35 + 42/56 is 45/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 56 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 35 × 8 = 280,
30/35 = 30 × 8/35 × 8 = 240/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
42/56 = 42 × 5/56 × 5 = 210/280 - Add the two like fractions:
240/280 + 210/280 = 240 + 210/280 = 450/280 - 450/280 simplified gives 45/28
- So, 30/35 + 42/56 = 45/28
In mixed form: 117/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/35+42/56 30/35+84/56 30/70+42/56 90/35+42/56