Add 30/84 and 81/30
1st number: 30/84, 2nd number: 2 21/30
30/84 + 81/30 is 107/35.
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,
30/84 = 30 × 5/84 × 5 = 150/420 - Likewise, for the 2nd fraction, since 30 × 14 = 420,
81/30 = 81 × 14/30 × 14 = 1134/420 - Add the two like fractions:
150/420 + 1134/420 = 150 + 1134/420 = 1284/420 - 1284/420 simplified gives 107/35
- So, 30/84 + 81/30 = 107/35
In mixed form: 32/35
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