Add 21/45 and 35/7
1st number: 21/45, 2nd number: 5 0/7
21/45 + 35/7 is 82/15.
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,
21/45 = 21 × 7/45 × 7 = 147/315 - Likewise, for the 2nd fraction, since 7 × 45 = 315,
35/7 = 35 × 45/7 × 45 = 1575/315 - Add the two like fractions:
147/315 + 1575/315 = 147 + 1575/315 = 1722/315 - 1722/315 simplified gives 82/15
- So, 21/45 + 35/7 = 82/15
In mixed form: 57/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/45+35/7 21/45+70/7 21/90+35/7 21/45+35/14 63/45+35/7 21/45+35/21 21/45+35/49