Add 8/84 and 32/35
8/84 + 32/35 is 106/105.
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,
8/84 = 8 × 5/84 × 5 = 40/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
32/35 = 32 × 12/35 × 12 = 384/420 - Add the two like fractions:
40/420 + 384/420 = 40 + 384/420 = 424/420 - 424/420 simplified gives 106/105
- So, 8/84 + 32/35 = 106/105
In mixed form: 11/105
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