Add 30/42 and 9/16
30/42 + 9/16 is 143/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 16 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 42 × 8 = 336,
30/42 = 30 × 8/42 × 8 = 240/336 - Likewise, for the 2nd fraction, since 16 × 21 = 336,
9/16 = 9 × 21/16 × 21 = 189/336 - Add the two like fractions:
240/336 + 189/336 = 240 + 189/336 = 429/336 - 429/336 simplified gives 143/112
- So, 30/42 + 9/16 = 143/112
In mixed form: 131/112
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/42+9/16 30/42+18/16 30/84+9/16 30/42+9/32 90/42+9/16 30/42+27/16 30/42+9/48 30/42+45/16 30/42+9/80 30/42+63/16