Add 75/42 and 21/9
1st number: 1 33/42, 2nd number: 2 3/9
75/42 + 21/9 is 173/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 9 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 42 × 3 = 126,
75/42 = 75 × 3/42 × 3 = 225/126 - Likewise, for the 2nd fraction, since 9 × 14 = 126,
21/9 = 21 × 14/9 × 14 = 294/126 - Add the two like fractions:
225/126 + 294/126 = 225 + 294/126 = 519/126 - 519/126 simplified gives 173/42
- So, 75/42 + 21/9 = 173/42
In mixed form: 45/42
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