Add 27/30 and 42/45
27/30 + 42/45 is 11/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 45 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 30 × 3 = 90,
27/30 = 27 × 3/30 × 3 = 81/90 - Likewise, for the 2nd fraction, since 45 × 2 = 90,
42/45 = 42 × 2/45 × 2 = 84/90 - Add the two like fractions:
81/90 + 84/90 = 81 + 84/90 = 165/90 - 165/90 simplified gives 11/6
- So, 27/30 + 42/45 = 11/6
In mixed form: 15/6
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