Add 75/28 and 35/16
1st number: 2 19/28, 2nd number: 2 3/16
75/28 + 35/16 is 545/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 16 is 112
Next, find the equivalent fraction of both fractional numbers with denominator 112 - For the 1st fraction, since 28 × 4 = 112,
75/28 = 75 × 4/28 × 4 = 300/112 - Likewise, for the 2nd fraction, since 16 × 7 = 112,
35/16 = 35 × 7/16 × 7 = 245/112 - Add the two like fractions:
300/112 + 245/112 = 300 + 245/112 = 545/112 - So, 75/28 + 35/16 = 545/112
In mixed form: 497/112
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/28+70/16 75/56+35/16 75/28+35/32 75/84+35/16 75/28+35/48 75/28+35/80