Add 10/27 and 40/15
1st number: 10/27, 2nd number: 2 10/15
10/27 + 40/15 is 82/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 15 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 27 × 5 = 135,
10/27 = 10 × 5/27 × 5 = 50/135 - Likewise, for the 2nd fraction, since 15 × 9 = 135,
40/15 = 40 × 9/15 × 9 = 360/135 - Add the two like fractions:
50/135 + 360/135 = 50 + 360/135 = 410/135 - 410/135 simplified gives 82/27
- So, 10/27 + 40/15 = 82/27
In mixed form: 31/27
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