Add 7/40 and 8/49
7/40 + 8/49 is 663/1960.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 49 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 40 × 49 = 1960,
7/40 = 7 × 49/40 × 49 = 343/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
8/49 = 8 × 40/49 × 40 = 320/1960 - Add the two like fractions:
343/1960 + 320/1960 = 343 + 320/1960 = 663/1960 - So, 7/40 + 8/49 = 663/1960
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/40+8/49 7/40+16/49 7/80+8/49 7/40+8/98 21/40+8/49 7/40+24/49 35/40+8/49 7/40+40/49 49/40+8/49 7/40+56/49