Add 8/84 and 8/30
8/84 + 8/30 is 38/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 30 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
8/84 = 8 × 5/84 × 5 = 40/420 - Likewise, for the 2nd fraction, since 30 × 14 = 420,
8/30 = 8 × 14/30 × 14 = 112/420 - Add the two like fractions:
40/420 + 112/420 = 40 + 112/420 = 152/420 - 152/420 simplified gives 38/105
- So, 8/84 + 8/30 = 38/105
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