Add 12/84 and 84/90
12/84 + 84/90 is 113/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 90 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 84 × 15 = 1260,
12/84 = 12 × 15/84 × 15 = 180/1260 - Likewise, for the 2nd fraction, since 90 × 14 = 1260,
84/90 = 84 × 14/90 × 14 = 1176/1260 - Add the two like fractions:
180/1260 + 1176/1260 = 180 + 1176/1260 = 1356/1260 - 1356/1260 simplified gives 113/105
- So, 12/84 + 84/90 = 113/105
In mixed form: 18/105
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