Add 72/84 and 40/54
72/84 + 40/54 is 302/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 54 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 54 × 14 = 756,
40/54 = 40 × 14/54 × 14 = 560/756 - Add the two like fractions:
648/756 + 560/756 = 648 + 560/756 = 1208/756 - 1208/756 simplified gives 302/189
- So, 72/84 + 40/54 = 302/189
In mixed form: 1113/189
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/84+80/54