Add 75/2 and 21/27
1st number: 37 1/2, 2nd number: 21/27
75/2 + 21/27 is 689/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 27 is 54
Next, find the equivalent fraction of both fractional numbers with denominator 54 - For the 1st fraction, since 2 × 27 = 54,
75/2 = 75 × 27/2 × 27 = 2025/54 - Likewise, for the 2nd fraction, since 27 × 2 = 54,
21/27 = 21 × 2/27 × 2 = 42/54 - Add the two like fractions:
2025/54 + 42/54 = 2025 + 42/54 = 2067/54 - 2067/54 simplified gives 689/18
- So, 75/2 + 21/27 = 689/18
In mixed form: 385/18
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