Add 14/45 and 21/7
1st number: 14/45, 2nd number: 3 0/7
14/45 + 21/7 is 149/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 7 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
14/45 = 14 × 7/45 × 7 = 98/315 - Likewise, for the 2nd fraction, since 7 × 45 = 315,
21/7 = 21 × 45/7 × 45 = 945/315 - Add the two like fractions:
98/315 + 945/315 = 98 + 945/315 = 1043/315 - 1043/315 simplified gives 149/45
- So, 14/45 + 21/7 = 149/45
In mixed form: 314/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/45+21/7 14/45+42/7 14/90+21/7 14/45+21/14 42/45+21/7 14/45+63/7 70/45+21/7 14/45+21/35 98/45+21/7 14/45+21/49