Add 75/84 and 12/35
75/84 + 12/35 is 173/140.
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,
75/84 = 75 × 5/84 × 5 = 375/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
12/35 = 12 × 12/35 × 12 = 144/420 - Add the two like fractions:
375/420 + 144/420 = 375 + 144/420 = 519/420 - 519/420 simplified gives 173/140
- So, 75/84 + 12/35 = 173/140
In mixed form: 133/140
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