Add 9/12 and 49/21
1st number: 9/12, 2nd number: 2 7/21
9/12 + 49/21 is 37/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
9/12 = 9 × 7/12 × 7 = 63/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
49/21 = 49 × 4/21 × 4 = 196/84 - Add the two like fractions:
63/84 + 196/84 = 63 + 196/84 = 259/84 - 259/84 simplified gives 37/12
- So, 9/12 + 49/21 = 37/12
In mixed form: 31/12
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