Add 35/84 and 20/30
35/84 + 20/30 is 13/12.
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,
35/84 = 35 × 5/84 × 5 = 175/420 - Likewise, for the 2nd fraction, since 30 × 14 = 420,
20/30 = 20 × 14/30 × 14 = 280/420 - Add the two like fractions:
175/420 + 280/420 = 175 + 280/420 = 455/420 - 455/420 simplified gives 13/12
- So, 35/84 + 20/30 = 13/12
In mixed form: 11/12
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