Add 28/49 and 75/32
1st number: 28/49, 2nd number: 2 11/32
28/49 + 75/32 is 653/224.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 32 is 1568
Next, find the equivalent fraction of both fractional numbers with denominator 1568 - For the 1st fraction, since 49 × 32 = 1568,
28/49 = 28 × 32/49 × 32 = 896/1568 - Likewise, for the 2nd fraction, since 32 × 49 = 1568,
75/32 = 75 × 49/32 × 49 = 3675/1568 - Add the two like fractions:
896/1568 + 3675/1568 = 896 + 3675/1568 = 4571/1568 - 4571/1568 simplified gives 653/224
- So, 28/49 + 75/32 = 653/224
In mixed form: 2205/224
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 56/49+75/32 28/98+75/32 28/49+75/64 84/49+75/32 28/49+75/96