Add 7/14 and 12/21
7/14 + 12/21 is 15/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 14 × 3 = 42,
7/14 = 7 × 3/14 × 3 = 21/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
12/21 = 12 × 2/21 × 2 = 24/42 - Add the two like fractions:
21/42 + 24/42 = 21 + 24/42 = 45/42 - 45/42 simplified gives 15/14
- So, 7/14 + 12/21 = 15/14
In mixed form: 11/14
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