Add 45/27 and 54/84
1st number: 1 18/27, 2nd number: 54/84
45/27 + 54/84 is 97/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 84 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 27 × 28 = 756,
45/27 = 45 × 28/27 × 28 = 1260/756 - Likewise, for the 2nd fraction, since 84 × 9 = 756,
54/84 = 54 × 9/84 × 9 = 486/756 - Add the two like fractions:
1260/756 + 486/756 = 1260 + 486/756 = 1746/756 - 1746/756 simplified gives 97/42
- So, 45/27 + 54/84 = 97/42
In mixed form: 213/42
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