Add 75/24 and 21/42
1st number: 3 3/24, 2nd number: 21/42
75/24 + 21/42 is 29/8.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 42 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 24 × 7 = 168,
75/24 = 75 × 7/24 × 7 = 525/168 - Likewise, for the 2nd fraction, since 42 × 4 = 168,
21/42 = 21 × 4/42 × 4 = 84/168 - Add the two like fractions:
525/168 + 84/168 = 525 + 84/168 = 609/168 - 609/168 simplified gives 29/8
- So, 75/24 + 21/42 = 29/8
In mixed form: 35/8
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