Add 32/3 and 14/49
1st number: 10 2/3, 2nd number: 14/49
32/3 + 14/49 is 230/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 49 is 147
Next, find the equivalent fraction of both fractional numbers with denominator 147 - For the 1st fraction, since 3 × 49 = 147,
32/3 = 32 × 49/3 × 49 = 1568/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
14/49 = 14 × 3/49 × 3 = 42/147 - Add the two like fractions:
1568/147 + 42/147 = 1568 + 42/147 = 1610/147 - 1610/147 simplified gives 230/21
- So, 32/3 + 14/49 = 230/21
In mixed form: 1020/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 64/3+14/49 32/3+28/49 32/6+14/49 32/3+14/98 96/3+14/49 32/3+42/49 32/9+14/49 32/3+70/49 32/15+14/49 32/3+98/49 32/21+14/49