Add 15/35 and 40/49
15/35 + 40/49 is 61/49.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 49 is 245
Next, find the equivalent fraction of both fractional numbers with denominator 245 - For the 1st fraction, since 35 × 7 = 245,
15/35 = 15 × 7/35 × 7 = 105/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
40/49 = 40 × 5/49 × 5 = 200/245 - Add the two like fractions:
105/245 + 200/245 = 105 + 200/245 = 305/245 - 305/245 simplified gives 61/49
- So, 15/35 + 40/49 = 61/49
In mixed form: 112/49
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 30/35+40/49 15/35+80/49 15/70+40/49 15/35+40/98 45/35+40/49 75/35+40/49