Add 3/40 and 7/49
3/40 + 7/49 is 61/280.
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,
3/40 = 3 × 49/40 × 49 = 147/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
7/49 = 7 × 40/49 × 40 = 280/1960 - Add the two like fractions:
147/1960 + 280/1960 = 147 + 280/1960 = 427/1960 - 427/1960 simplified gives 61/280
- So, 3/40 + 7/49 = 61/280
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 6/40+7/49 3/40+14/49 3/80+7/49 3/40+7/98 9/40+7/49 3/40+21/49 15/40+7/49 3/40+35/49 21/40+7/49