Add 48/14 and 49/40
1st number: 3 6/14, 2nd number: 1 9/40
48/14 + 49/40 is 1303/280.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 14 × 20 = 280,
48/14 = 48 × 20/14 × 20 = 960/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
49/40 = 49 × 7/40 × 7 = 343/280 - Add the two like fractions:
960/280 + 343/280 = 960 + 343/280 = 1303/280 - So, 48/14 + 49/40 = 1303/280
In mixed form: 4183/280
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 96/14+49/40 48/14+98/40 48/28+49/40 48/14+49/80 48/42+49/40 48/70+49/40 48/98+49/40