Add 75/21 and 40/49
1st number: 3 12/21, 2nd number: 40/49
75/21 + 40/49 is 215/49.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 49 is 147
Next, find the equivalent fraction of both fractional numbers with denominator 147 - For the 1st fraction, since 21 × 7 = 147,
75/21 = 75 × 7/21 × 7 = 525/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
40/49 = 40 × 3/49 × 3 = 120/147 - Add the two like fractions:
525/147 + 120/147 = 525 + 120/147 = 645/147 - 645/147 simplified gives 215/49
- So, 75/21 + 40/49 = 215/49
In mixed form: 419/49
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/21+80/49 75/42+40/49 75/21+40/98 75/63+40/49