Add 3/10 and 49/56
3/10 + 49/56 is 47/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 56 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 10 × 28 = 280,
3/10 = 3 × 28/10 × 28 = 84/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
49/56 = 49 × 5/56 × 5 = 245/280 - Add the two like fractions:
84/280 + 245/280 = 84 + 245/280 = 329/280 - 329/280 simplified gives 47/40
- So, 3/10 + 49/56 = 47/40
In mixed form: 17/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 6/10+49/56 3/10+98/56 3/20+49/56 9/10+49/56 3/30+49/56 15/10+49/56 3/50+49/56 21/10+49/56 3/70+49/56