Add 81/84 and 30/35
81/84 + 30/35 is 51/28.
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,
81/84 = 81 × 5/84 × 5 = 405/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
30/35 = 30 × 12/35 × 12 = 360/420 - Add the two like fractions:
405/420 + 360/420 = 405 + 360/420 = 765/420 - 765/420 simplified gives 51/28
- So, 81/84 + 30/35 = 51/28
In mixed form: 123/28
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