Add 10/5 and 49/56
1st number: 2 0/5, 2nd number: 49/56
10/5 + 49/56 is 23/8.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 56 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 5 × 56 = 280,
10/5 = 10 × 56/5 × 56 = 560/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
49/56 = 49 × 5/56 × 5 = 245/280 - Add the two like fractions:
560/280 + 245/280 = 560 + 245/280 = 805/280 - 805/280 simplified gives 23/8
- So, 10/5 + 49/56 = 23/8
In mixed form: 27/8
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/5+49/56 10/5+98/56 30/5+49/56 10/15+49/56 50/5+49/56 10/25+49/56 70/5+49/56 10/35+49/56