Add 16/15 and 49/40
1st number: 1 1/15, 2nd number: 1 9/40
16/15 + 49/40 is 55/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 40 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 15 × 8 = 120,
16/15 = 16 × 8/15 × 8 = 128/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
49/40 = 49 × 3/40 × 3 = 147/120 - Add the two like fractions:
128/120 + 147/120 = 128 + 147/120 = 275/120 - 275/120 simplified gives 55/24
- So, 16/15 + 49/40 = 55/24
In mixed form: 27/24
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 32/15+49/40 16/15+98/40 16/30+49/40 16/15+49/80 48/15+49/40 16/45+49/40 80/15+49/40 16/75+49/40