Add 75/7 and 14/16
1st number: 10 5/7, 2nd number: 14/16
75/7 + 14/16 is 649/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 16 is 112
Next, find the equivalent fraction of both fractional numbers with denominator 112 - For the 1st fraction, since 7 × 16 = 112,
75/7 = 75 × 16/7 × 16 = 1200/112 - Likewise, for the 2nd fraction, since 16 × 7 = 112,
14/16 = 14 × 7/16 × 7 = 98/112 - Add the two like fractions:
1200/112 + 98/112 = 1200 + 98/112 = 1298/112 - 1298/112 simplified gives 649/56
- So, 75/7 + 14/16 = 649/56
In mixed form: 1133/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/7+28/16 75/14+14/16 75/7+14/32 75/7+42/16 75/21+14/16 75/7+14/48 75/7+70/16 75/35+14/16 75/7+14/80 75/7+98/16 75/49+14/16