Add 3/40 and 35/49
3/40 + 35/49 is 221/280.
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,
35/49 = 35 × 40/49 × 40 = 1400/1960 - Add the two like fractions:
147/1960 + 1400/1960 = 147 + 1400/1960 = 1547/1960 - 1547/1960 simplified gives 221/280
- So, 3/40 + 35/49 = 221/280
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 6/40+35/49 3/40+70/49 3/80+35/49 3/40+35/98 9/40+35/49 15/40+35/49 21/40+35/49