Add 30/27 and 75/4
1st number: 1 3/27, 2nd number: 18 3/4
30/27 + 75/4 is 715/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 4 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 27 × 4 = 108,
30/27 = 30 × 4/27 × 4 = 120/108 - Likewise, for the 2nd fraction, since 4 × 27 = 108,
75/4 = 75 × 27/4 × 27 = 2025/108 - Add the two like fractions:
120/108 + 2025/108 = 120 + 2025/108 = 2145/108 - 2145/108 simplified gives 715/36
- So, 30/27 + 75/4 = 715/36
In mixed form: 1931/36
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