Add 35/45 and 12/27
35/45 + 12/27 is 11/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 27 is 135
Next, find the equivalent fraction of both fractional numbers with denominator 135 - For the 1st fraction, since 45 × 3 = 135,
35/45 = 35 × 3/45 × 3 = 105/135 - Likewise, for the 2nd fraction, since 27 × 5 = 135,
12/27 = 12 × 5/27 × 5 = 60/135 - Add the two like fractions:
105/135 + 60/135 = 105 + 60/135 = 165/135 - 165/135 simplified gives 11/9
- So, 35/45 + 12/27 = 11/9
In mixed form: 12/9
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