Add 35/12 and 75/16
1st number: 2 11/12, 2nd number: 4 11/16
35/12 + 75/16 is 365/48.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 16 is 48
Next, find the equivalent fraction of both fractional numbers with denominator 48 - For the 1st fraction, since 12 × 4 = 48,
35/12 = 35 × 4/12 × 4 = 140/48 - Likewise, for the 2nd fraction, since 16 × 3 = 48,
75/16 = 75 × 3/16 × 3 = 225/48 - Add the two like fractions:
140/48 + 225/48 = 140 + 225/48 = 365/48 - So, 35/12 + 75/16 = 365/48
In mixed form: 729/48
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/12+75/16 35/24+75/16 35/12+75/32 35/36+75/16 35/12+75/48 35/60+75/16 35/12+75/80 35/84+75/16