Add 12/27 and 42/45
12/27 + 42/45 is 62/45.
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,
12/27 = 12 × 5/27 × 5 = 60/135 - Likewise, for the 2nd fraction, since 45 × 3 = 135,
42/45 = 42 × 3/45 × 3 = 126/135 - Add the two like fractions:
60/135 + 126/135 = 60 + 126/135 = 186/135 - 186/135 simplified gives 62/45
- So, 12/27 + 42/45 = 62/45
In mixed form: 117/45
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