Add 10/84 and 21/30
10/84 + 21/30 is 86/105.
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,
10/84 = 10 × 5/84 × 5 = 50/420 - Likewise, for the 2nd fraction, since 30 × 14 = 420,
21/30 = 21 × 14/30 × 14 = 294/420 - Add the two like fractions:
50/420 + 294/420 = 50 + 294/420 = 344/420 - 344/420 simplified gives 86/105
- So, 10/84 + 21/30 = 86/105
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