Add 72/84 and 49/27
1st number: 72/84, 2nd number: 1 22/27
72/84 + 49/27 is 505/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 27 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 84 × 9 = 756,
72/84 = 72 × 9/84 × 9 = 648/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
49/27 = 49 × 28/27 × 28 = 1372/756 - Add the two like fractions:
648/756 + 1372/756 = 648 + 1372/756 = 2020/756 - 2020/756 simplified gives 505/189
- So, 72/84 + 49/27 = 505/189
In mixed form: 2127/189
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/84+98/27 72/84+49/54 72/84+49/81