Add 40/27 and 60/45
1st number: 1 13/27, 2nd number: 1 15/45
40/27 + 60/45 is 76/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 45 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 27 × 5 = 135,
40/27 = 40 × 5/27 × 5 = 200/135 - Likewise, for the 2nd fraction, since 45 × 3 = 135,
60/45 = 60 × 3/45 × 3 = 180/135 - Add the two like fractions:
200/135 + 180/135 = 200 + 180/135 = 380/135 - 380/135 simplified gives 76/27
- So, 40/27 + 60/45 = 76/27
In mixed form: 222/27
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