Add 3/10 and 49/42
1st number: 3/10, 2nd number: 1 7/42
3/10 + 49/42 is 22/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 10 × 21 = 210,
3/10 = 3 × 21/10 × 21 = 63/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
49/42 = 49 × 5/42 × 5 = 245/210 - Add the two like fractions:
63/210 + 245/210 = 63 + 245/210 = 308/210 - 308/210 simplified gives 22/15
- So, 3/10 + 49/42 = 22/15
In mixed form: 17/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 6/10+49/42 3/10+98/42 3/20+49/42 3/10+49/84 9/10+49/42 3/30+49/42 15/10+49/42 3/50+49/42 21/10+49/42 3/70+49/42