Add 72/20 and 40/27
1st number: 3 12/20, 2nd number: 1 13/27
72/20 + 40/27 is 686/135.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 27 is 540
Next, find the equivalent fraction of both fractional numbers with denominator 540 - For the 1st fraction, since 20 × 27 = 540,
72/20 = 72 × 27/20 × 27 = 1944/540 - Likewise, for the 2nd fraction, since 27 × 20 = 540,
40/27 = 40 × 20/27 × 20 = 800/540 - Add the two like fractions:
1944/540 + 800/540 = 1944 + 800/540 = 2744/540 - 2744/540 simplified gives 686/135
- So, 72/20 + 40/27 = 686/135
In mixed form: 511/135
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/20+80/27 72/40+40/27 72/20+40/54 72/60+40/27 72/20+40/81