Add 7/2 and 21/27
1st number: 3 1/2, 2nd number: 21/27
7/2 + 21/27 is 77/18.
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,
7/2 = 7 × 27/2 × 27 = 189/54 - Likewise, for the 2nd fraction, since 27 × 2 = 54,
21/27 = 21 × 2/27 × 2 = 42/54 - Add the two like fractions:
189/54 + 42/54 = 189 + 42/54 = 231/54 - 231/54 simplified gives 77/18
- So, 7/2 + 21/27 = 77/18
In mixed form: 45/18
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