Add 49/6 and 9/14
1st number: 8 1/6, 2nd number: 9/14
49/6 + 9/14 is 185/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 14 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 6 × 7 = 42,
49/6 = 49 × 7/6 × 7 = 343/42 - Likewise, for the 2nd fraction, since 14 × 3 = 42,
9/14 = 9 × 3/14 × 3 = 27/42 - Add the two like fractions:
343/42 + 27/42 = 343 + 27/42 = 370/42 - 370/42 simplified gives 185/21
- So, 49/6 + 9/14 = 185/21
In mixed form: 817/21
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