Add 20/84 and 35/30
1st number: 20/84, 2nd number: 1 5/30
20/84 + 35/30 is 59/42.
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,
20/84 = 20 × 5/84 × 5 = 100/420 - Likewise, for the 2nd fraction, since 30 × 14 = 420,
35/30 = 35 × 14/30 × 14 = 490/420 - Add the two like fractions:
100/420 + 490/420 = 100 + 490/420 = 590/420 - 590/420 simplified gives 59/42
- So, 20/84 + 35/30 = 59/42
In mixed form: 117/42
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