Add 14/12 and 75/21
1st number: 1 2/12, 2nd number: 3 12/21
14/12 + 75/21 is 199/42.
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,
14/12 = 14 × 7/12 × 7 = 98/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
75/21 = 75 × 4/21 × 4 = 300/84 - Add the two like fractions:
98/84 + 300/84 = 98 + 300/84 = 398/84 - 398/84 simplified gives 199/42
- So, 14/12 + 75/21 = 199/42
In mixed form: 431/42
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