Add 7/10 and 42/49
7/10 + 42/49 is 109/70.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 49 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 10 × 49 = 490,
7/10 = 7 × 49/10 × 49 = 343/490 - Likewise, for the 2nd fraction, since 49 × 10 = 490,
42/49 = 42 × 10/49 × 10 = 420/490 - Add the two like fractions:
343/490 + 420/490 = 343 + 420/490 = 763/490 - 763/490 simplified gives 109/70
- So, 7/10 + 42/49 = 109/70
In mixed form: 139/70
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/10+42/49 7/10+84/49 7/20+42/49 7/10+42/98 21/10+42/49 7/30+42/49 35/10+42/49 7/50+42/49 49/10+42/49 7/70+42/49