Add 21/70 and 40/49
21/70 + 40/49 is 547/490.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 49 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 70 × 7 = 490,
21/70 = 21 × 7/70 × 7 = 147/490 - Likewise, for the 2nd fraction, since 49 × 10 = 490,
40/49 = 40 × 10/49 × 10 = 400/490 - Add the two like fractions:
147/490 + 400/490 = 147 + 400/490 = 547/490 - So, 21/70 + 40/49 = 547/490
In mixed form: 157/490
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/70+40/49 21/70+80/49 21/70+40/98 63/70+40/49