Add 40/12 and 75/14
1st number: 3 4/12, 2nd number: 5 5/14
40/12 + 75/14 is 365/42.
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,
40/12 = 40 × 7/12 × 7 = 280/84 - Likewise, for the 2nd fraction, since 14 × 6 = 84,
75/14 = 75 × 6/14 × 6 = 450/84 - Add the two like fractions:
280/84 + 450/84 = 280 + 450/84 = 730/84 - 730/84 simplified gives 365/42
- So, 40/12 + 75/14 = 365/42
In mixed form: 829/42
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