Add 45/84 and 60/81
45/84 + 60/81 is 965/756.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 81 is 2268
Next, find the equivalent fraction of both fractional numbers with denominator 2268 - For the 1st fraction, since 84 × 27 = 2268,
45/84 = 45 × 27/84 × 27 = 1215/2268 - Likewise, for the 2nd fraction, since 81 × 28 = 2268,
60/81 = 60 × 28/81 × 28 = 1680/2268 - Add the two like fractions:
1215/2268 + 1680/2268 = 1215 + 1680/2268 = 2895/2268 - 2895/2268 simplified gives 965/756
- So, 45/84 + 60/81 = 965/756
In mixed form: 1209/756
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