Add 20/84 and 12/35
20/84 + 12/35 is 61/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 35 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
20/84 = 20 × 5/84 × 5 = 100/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
12/35 = 12 × 12/35 × 12 = 144/420 - Add the two like fractions:
100/420 + 144/420 = 100 + 144/420 = 244/420 - 244/420 simplified gives 61/105
- So, 20/84 + 12/35 = 61/105
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