Add 30/42 and 20/32
30/42 + 20/32 is 75/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 32 is 672
Next, find the equivalent fraction of both fractional numbers with denominator 672 - For the 1st fraction, since 42 × 16 = 672,
30/42 = 30 × 16/42 × 16 = 480/672 - Likewise, for the 2nd fraction, since 32 × 21 = 672,
20/32 = 20 × 21/32 × 21 = 420/672 - Add the two like fractions:
480/672 + 420/672 = 480 + 420/672 = 900/672 - 900/672 simplified gives 75/56
- So, 30/42 + 20/32 = 75/56
In mixed form: 119/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/42+20/32 30/42+40/32 30/84+20/32 30/42+20/64 90/42+20/32 30/42+60/32 30/42+20/96