Add 28/84 and 24/35
28/84 + 24/35 is 107/105.
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,
28/84 = 28 × 5/84 × 5 = 140/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
24/35 = 24 × 12/35 × 12 = 288/420 - Add the two like fractions:
140/420 + 288/420 = 140 + 288/420 = 428/420 - 428/420 simplified gives 107/105
- So, 28/84 + 24/35 = 107/105
In mixed form: 12/105
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