Add 27/30 and 75/28
1st number: 27/30, 2nd number: 2 19/28
27/30 + 75/28 is 501/140.
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,
75/28 = 75 × 15/28 × 15 = 1125/420 - Add the two like fractions:
378/420 + 1125/420 = 378 + 1125/420 = 1503/420 - 1503/420 simplified gives 501/140
- So, 27/30 + 75/28 = 501/140
In mixed form: 381/140
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