Add 27/28 and 27/42
27/28 + 27/42 is 45/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 42 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 28 × 3 = 84,
27/28 = 27 × 3/28 × 3 = 81/84 - Likewise, for the 2nd fraction, since 42 × 2 = 84,
27/42 = 27 × 2/42 × 2 = 54/84 - Add the two like fractions:
81/84 + 54/84 = 81 + 54/84 = 135/84 - 135/84 simplified gives 45/28
- So, 27/28 + 27/42 = 45/28
In mixed form: 117/28
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