Add 40/27 and 72/20
1st number: 1 13/27, 2nd number: 3 12/20
40/27 + 72/20 is 686/135.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 20 is 540
Next, find the equivalent fraction of both fractional numbers with denominator 540 - For the 1st fraction, since 27 × 20 = 540,
40/27 = 40 × 20/27 × 20 = 800/540 - Likewise, for the 2nd fraction, since 20 × 27 = 540,
72/20 = 72 × 27/20 × 27 = 1944/540 - Add the two like fractions:
800/540 + 1944/540 = 800 + 1944/540 = 2744/540 - 2744/540 simplified gives 686/135
- So, 40/27 + 72/20 = 686/135
In mixed form: 511/135
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