Add 10/14 and 15/49
10/14 + 15/49 is 50/49.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 49 is 98
Next, find the equivalent fraction of both fractional numbers with denominator 98 - For the 1st fraction, since 14 × 7 = 98,
10/14 = 10 × 7/14 × 7 = 70/98 - Likewise, for the 2nd fraction, since 49 × 2 = 98,
15/49 = 15 × 2/49 × 2 = 30/98 - Add the two like fractions:
70/98 + 30/98 = 70 + 30/98 = 100/98 - 100/98 simplified gives 50/49
- So, 10/14 + 15/49 = 50/49
In mixed form: 11/49
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/14+15/49 10/14+30/49 10/28+15/49 10/14+15/98 30/14+15/49 10/14+45/49 10/42+15/49 50/14+15/49 10/14+75/49 10/70+15/49 70/14+15/49 10/98+15/49