Add 75/4 and 42/27
1st number: 18 3/4, 2nd number: 1 15/27
75/4 + 42/27 is 731/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 27 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 4 × 27 = 108,
75/4 = 75 × 27/4 × 27 = 2025/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
42/27 = 42 × 4/27 × 4 = 168/108 - Add the two like fractions:
2025/108 + 168/108 = 2025 + 168/108 = 2193/108 - 2193/108 simplified gives 731/36
- So, 75/4 + 42/27 = 731/36
In mixed form: 2011/36
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