Add 30/27 and 75/49
1st number: 1 3/27, 2nd number: 1 26/49
30/27 + 75/49 is 1165/441.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 49 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 27 × 49 = 1323,
30/27 = 30 × 49/27 × 49 = 1470/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
75/49 = 75 × 27/49 × 27 = 2025/1323 - Add the two like fractions:
1470/1323 + 2025/1323 = 1470 + 2025/1323 = 3495/1323 - 3495/1323 simplified gives 1165/441
- So, 30/27 + 75/49 = 1165/441
In mixed form: 2283/441
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