Add 30/84 and 10/15
30/84 + 10/15 is 43/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 15 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
30/84 = 30 × 5/84 × 5 = 150/420 - Likewise, for the 2nd fraction, since 15 × 28 = 420,
10/15 = 10 × 28/15 × 28 = 280/420 - Add the two like fractions:
150/420 + 280/420 = 150 + 280/420 = 430/420 - 430/420 simplified gives 43/42
- So, 30/84 + 10/15 = 43/42
In mixed form: 11/42
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