Add 12/84 and 49/27
1st number: 12/84, 2nd number: 1 22/27
12/84 + 49/27 is 370/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 27 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 84 × 9 = 756,
12/84 = 12 × 9/84 × 9 = 108/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
49/27 = 49 × 28/27 × 28 = 1372/756 - Add the two like fractions:
108/756 + 1372/756 = 108 + 1372/756 = 1480/756 - 1480/756 simplified gives 370/189
- So, 12/84 + 49/27 = 370/189
In mixed form: 1181/189
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