Add 49/21 and 9/4
1st number: 2 7/21, 2nd number: 2 1/4
49/21 + 9/4 is 55/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 4 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 21 × 4 = 84,
49/21 = 49 × 4/21 × 4 = 196/84 - Likewise, for the 2nd fraction, since 4 × 21 = 84,
9/4 = 9 × 21/4 × 21 = 189/84 - Add the two like fractions:
196/84 + 189/84 = 196 + 189/84 = 385/84 - 385/84 simplified gives 55/12
- So, 49/21 + 9/4 = 55/12
In mixed form: 47/12
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