Add 30/27 and 45/32
1st number: 1 3/27, 2nd number: 1 13/32
30/27 + 45/32 is 725/288.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 32 is 864
Next, find the equivalent fraction of both fractional numbers with denominator 864 - For the 1st fraction, since 27 × 32 = 864,
30/27 = 30 × 32/27 × 32 = 960/864 - Likewise, for the 2nd fraction, since 32 × 27 = 864,
45/32 = 45 × 27/32 × 27 = 1215/864 - Add the two like fractions:
960/864 + 1215/864 = 960 + 1215/864 = 2175/864 - 2175/864 simplified gives 725/288
- So, 30/27 + 45/32 = 725/288
In mixed form: 2149/288
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/27+45/32 30/27+90/32 30/54+45/32 30/27+45/64 90/27+45/32 30/81+45/32 30/27+45/96