Add 84/42 and 30/16
1st number: 2 0/42, 2nd number: 1 14/16
84/42 + 30/16 is 31/8.
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,
84/42 = 84 × 8/42 × 8 = 672/336 - Likewise, for the 2nd fraction, since 16 × 21 = 336,
30/16 = 30 × 21/16 × 21 = 630/336 - Add the two like fractions:
672/336 + 630/336 = 672 + 630/336 = 1302/336 - 1302/336 simplified gives 31/8
- So, 84/42 + 30/16 = 31/8
In mixed form: 37/8
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/42+60/16 84/42+30/32 84/42+90/16 84/42+30/48 84/42+30/80