Add 30/35 and 70/84
30/35 + 70/84 is 71/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 35 × 12 = 420,
30/35 = 30 × 12/35 × 12 = 360/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
70/84 = 70 × 5/84 × 5 = 350/420 - Add the two like fractions:
360/420 + 350/420 = 360 + 350/420 = 710/420 - 710/420 simplified gives 71/42
- So, 30/35 + 70/84 = 71/42
In mixed form: 129/42
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