Add 7/45 and 35/21
1st number: 7/45, 2nd number: 1 14/21
7/45 + 35/21 is 82/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 21 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
7/45 = 7 × 7/45 × 7 = 49/315 - Likewise, for the 2nd fraction, since 21 × 15 = 315,
35/21 = 35 × 15/21 × 15 = 525/315 - Add the two like fractions:
49/315 + 525/315 = 49 + 525/315 = 574/315 - 574/315 simplified gives 82/45
- So, 7/45 + 35/21 = 82/45
In mixed form: 137/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/45+35/21 7/45+70/21 7/90+35/21 7/45+35/42 21/45+35/21 7/45+35/63 35/45+35/21 49/45+35/21