Add 45/84 and 42/27
1st number: 45/84, 2nd number: 1 15/27
45/84 + 42/27 is 527/252.
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,
45/84 = 45 × 9/84 × 9 = 405/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
42/27 = 42 × 28/27 × 28 = 1176/756 - Add the two like fractions:
405/756 + 1176/756 = 405 + 1176/756 = 1581/756 - 1581/756 simplified gives 527/252
- So, 45/84 + 42/27 = 527/252
In mixed form: 223/252
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