Add 49/4 and 21/84
1st number: 12 1/4, 2nd number: 21/84
49/4 + 21/84 is 25/2.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 84 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 4 × 21 = 84,
49/4 = 49 × 21/4 × 21 = 1029/84 - Likewise, for the 2nd fraction, since 84 × 1 = 84,
21/84 = 21 × 1/84 × 1 = 21/84 - Add the two like fractions:
1029/84 + 21/84 = 1029 + 21/84 = 1050/84 - 1050/84 simplified gives 25/2
- So, 49/4 + 21/84 = 25/2
In mixed form: 121/2
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