Add 40/27 and 42/84
1st number: 1 13/27, 2nd number: 42/84
40/27 + 42/84 is 107/54.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 84 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 27 × 28 = 756,
40/27 = 40 × 28/27 × 28 = 1120/756 - Likewise, for the 2nd fraction, since 84 × 9 = 756,
42/84 = 42 × 9/84 × 9 = 378/756 - Add the two like fractions:
1120/756 + 378/756 = 1120 + 378/756 = 1498/756 - 1498/756 simplified gives 107/54
- So, 40/27 + 42/84 = 107/54
In mixed form: 153/54
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