Add 27/30 and 10/84
27/30 + 10/84 is 107/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 84 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 84 × 5 = 420,
10/84 = 10 × 5/84 × 5 = 50/420 - Add the two like fractions:
378/420 + 50/420 = 378 + 50/420 = 428/420 - 428/420 simplified gives 107/105
- So, 27/30 + 10/84 = 107/105
In mixed form: 12/105
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