Add 30/84 and 30/35
30/84 + 30/35 is 17/14.
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,
30/84 = 30 × 5/84 × 5 = 150/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
30/35 = 30 × 12/35 × 12 = 360/420 - Add the two like fractions:
150/420 + 360/420 = 150 + 360/420 = 510/420 - 510/420 simplified gives 17/14
- So, 30/84 + 30/35 = 17/14
In mixed form: 13/14
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