Add 10/49 and 49/40
1st number: 10/49, 2nd number: 1 9/40
10/49 + 49/40 is 2801/1960.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 49 × 40 = 1960,
10/49 = 10 × 40/49 × 40 = 400/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
49/40 = 49 × 49/40 × 49 = 2401/1960 - Add the two like fractions:
400/1960 + 2401/1960 = 400 + 2401/1960 = 2801/1960 - So, 10/49 + 49/40 = 2801/1960
In mixed form: 1841/1960
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/49+49/40 10/49+98/40 10/98+49/40 10/49+49/80 30/49+49/40 50/49+49/40 70/49+49/40