Add 18/35 and 49/63
18/35 + 49/63 is 407/315.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 63 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 35 × 9 = 315,
18/35 = 18 × 9/35 × 9 = 162/315 - Likewise, for the 2nd fraction, since 63 × 5 = 315,
49/63 = 49 × 5/63 × 5 = 245/315 - Add the two like fractions:
162/315 + 245/315 = 162 + 245/315 = 407/315 - So, 18/35 + 49/63 = 407/315
In mixed form: 192/315
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 36/35+49/63 18/35+98/63 18/70+49/63 54/35+49/63 90/35+49/63