Add 9/4 and 7/21
1st number: 2 1/4, 2nd number: 7/21
9/4 + 7/21 is 31/12.
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,
9/4 = 9 × 21/4 × 21 = 189/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
7/21 = 7 × 4/21 × 4 = 28/84 - Add the two like fractions:
189/84 + 28/84 = 189 + 28/84 = 217/84 - 217/84 simplified gives 31/12
- So, 9/4 + 7/21 = 31/12
In mixed form: 27/12
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