Add 75/4 and 42/9
1st number: 18 3/4, 2nd number: 4 6/9
75/4 + 42/9 is 281/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 9 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 4 × 9 = 36,
75/4 = 75 × 9/4 × 9 = 675/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
42/9 = 42 × 4/9 × 4 = 168/36 - Add the two like fractions:
675/36 + 168/36 = 675 + 168/36 = 843/36 - 843/36 simplified gives 281/12
- So, 75/4 + 42/9 = 281/12
In mixed form: 235/12
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