Add 40/15 and 28/27
1st number: 2 10/15, 2nd number: 1 1/27
40/15 + 28/27 is 100/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 27 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 15 × 9 = 135,
40/15 = 40 × 9/15 × 9 = 360/135 - Likewise, for the 2nd fraction, since 27 × 5 = 135,
28/27 = 28 × 5/27 × 5 = 140/135 - Add the two like fractions:
360/135 + 140/135 = 360 + 140/135 = 500/135 - 500/135 simplified gives 100/27
- So, 40/15 + 28/27 = 100/27
In mixed form: 319/27
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