Add 40/84 and 49/27
1st number: 40/84, 2nd number: 1 22/27
40/84 + 49/27 is 433/189.
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,
40/84 = 40 × 9/84 × 9 = 360/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
49/27 = 49 × 28/27 × 28 = 1372/756 - Add the two like fractions:
360/756 + 1372/756 = 360 + 1372/756 = 1732/756 - 1732/756 simplified gives 433/189
- So, 40/84 + 49/27 = 433/189
In mixed form: 255/189
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