Add 21/7 and 49/45
1st number: 3 0/7, 2nd number: 1 4/45
21/7 + 49/45 is 184/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 7 × 45 = 315,
21/7 = 21 × 45/7 × 45 = 945/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
49/45 = 49 × 7/45 × 7 = 343/315 - Add the two like fractions:
945/315 + 343/315 = 945 + 343/315 = 1288/315 - 1288/315 simplified gives 184/45
- So, 21/7 + 49/45 = 184/45
In mixed form: 44/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/7+49/45 21/7+98/45 21/14+49/45 21/7+49/90 63/7+49/45 21/35+49/45 21/49+49/45