Add 27/4 and 75/21
1st number: 6 3/4, 2nd number: 3 12/21
27/4 + 75/21 is 289/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 4 × 21 = 84,
27/4 = 27 × 21/4 × 21 = 567/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
75/21 = 75 × 4/21 × 4 = 300/84 - Add the two like fractions:
567/84 + 300/84 = 567 + 300/84 = 867/84 - 867/84 simplified gives 289/28
- So, 27/4 + 75/21 = 289/28
In mixed form: 109/28
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