Add 27/30 and 42/28
1st number: 27/30, 2nd number: 1 14/28
27/30 + 42/28 is 12/5.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 28 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
27/30 = 27 × 14/30 × 14 = 378/420 - Likewise, for the 2nd fraction, since 28 × 15 = 420,
42/28 = 42 × 15/28 × 15 = 630/420 - Add the two like fractions:
378/420 + 630/420 = 378 + 630/420 = 1008/420 - 1008/420 simplified gives 12/5
- So, 27/30 + 42/28 = 12/5
In mixed form: 22/5
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