Add 75/49 and 42/27
1st number: 1 26/49, 2nd number: 1 15/27
75/49 + 42/27 is 1361/441.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 27 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 49 × 27 = 1323,
75/49 = 75 × 27/49 × 27 = 2025/1323 - Likewise, for the 2nd fraction, since 27 × 49 = 1323,
42/27 = 42 × 49/27 × 49 = 2058/1323 - Add the two like fractions:
2025/1323 + 2058/1323 = 2025 + 2058/1323 = 4083/1323 - 4083/1323 simplified gives 1361/441
- So, 75/49 + 42/27 = 1361/441
In mixed form: 338/441
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