Add 30/15 and 49/27
1st number: 2 0/15, 2nd number: 1 22/27
30/15 + 49/27 is 103/27.
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,
30/15 = 30 × 9/15 × 9 = 270/135 - Likewise, for the 2nd fraction, since 27 × 5 = 135,
49/27 = 49 × 5/27 × 5 = 245/135 - Add the two like fractions:
270/135 + 245/135 = 270 + 245/135 = 515/135 - 515/135 simplified gives 103/27
- So, 30/15 + 49/27 = 103/27
In mixed form: 322/27
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