Add 30/42 and 30/32
30/42 + 30/32 is 185/112.
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,
30/32 = 30 × 21/32 × 21 = 630/672 - Add the two like fractions:
480/672 + 630/672 = 480 + 630/672 = 1110/672 - 1110/672 simplified gives 185/112
- So, 30/42 + 30/32 = 185/112
In mixed form: 173/112
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/42+30/32 30/42+60/32 30/84+30/32 30/42+30/64 90/42+30/32 30/42+90/32 30/42+30/96