Add 45/12 and 21/14
1st number: 3 9/12, 2nd number: 1 7/14
45/12 + 21/14 is 21/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 14 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
45/12 = 45 × 7/12 × 7 = 315/84 - Likewise, for the 2nd fraction, since 14 × 6 = 84,
21/14 = 21 × 6/14 × 6 = 126/84 - Add the two like fractions:
315/84 + 126/84 = 315 + 126/84 = 441/84 - 441/84 simplified gives 21/4
- So, 45/12 + 21/14 = 21/4
In mixed form: 51/4
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