Add 75/2 and 27/84
1st number: 37 1/2, 2nd number: 27/84
75/2 + 27/84 is 1059/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 84 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 2 × 42 = 84,
75/2 = 75 × 42/2 × 42 = 3150/84 - Likewise, for the 2nd fraction, since 84 × 1 = 84,
27/84 = 27 × 1/84 × 1 = 27/84 - Add the two like fractions:
3150/84 + 27/84 = 3150 + 27/84 = 3177/84 - 3177/84 simplified gives 1059/28
- So, 75/2 + 27/84 = 1059/28
In mixed form: 3723/28
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