Add 30/27 and 75/56
1st number: 1 3/27, 2nd number: 1 19/56
30/27 + 75/56 is 1235/504.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 56 is 1512
Next, find the equivalent fraction of both fractional numbers with denominator 1512 - For the 1st fraction, since 27 × 56 = 1512,
30/27 = 30 × 56/27 × 56 = 1680/1512 - Likewise, for the 2nd fraction, since 56 × 27 = 1512,
75/56 = 75 × 27/56 × 27 = 2025/1512 - Add the two like fractions:
1680/1512 + 2025/1512 = 1680 + 2025/1512 = 3705/1512 - 3705/1512 simplified gives 1235/504
- So, 30/27 + 75/56 = 1235/504
In mixed form: 2227/504
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