Add 75/14 and 40/24
1st number: 5 5/14, 2nd number: 1 16/24
75/14 + 40/24 is 295/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 24 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 14 × 12 = 168,
75/14 = 75 × 12/14 × 12 = 900/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
40/24 = 40 × 7/24 × 7 = 280/168 - Add the two like fractions:
900/168 + 280/168 = 900 + 280/168 = 1180/168 - 1180/168 simplified gives 295/42
- So, 75/14 + 40/24 = 295/42
In mixed form: 71/42
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