Add 12/21 and 9/14
12/21 + 9/14 is 17/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 14 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 21 × 2 = 42,
12/21 = 12 × 2/21 × 2 = 24/42 - Likewise, for the 2nd fraction, since 14 × 3 = 42,
9/14 = 9 × 3/14 × 3 = 27/42 - Add the two like fractions:
24/42 + 27/42 = 24 + 27/42 = 51/42 - 51/42 simplified gives 17/14
- So, 12/21 + 9/14 = 17/14
In mixed form: 13/14
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