Add 75/14 and 70/27
1st number: 5 5/14, 2nd number: 2 16/27
75/14 + 70/27 is 3005/378.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 14 × 27 = 378,
75/14 = 75 × 27/14 × 27 = 2025/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
70/27 = 70 × 14/27 × 14 = 980/378 - Add the two like fractions:
2025/378 + 980/378 = 2025 + 980/378 = 3005/378 - So, 75/14 + 70/27 = 3005/378
In mixed form: 7359/378
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