Add 35/4 and 75/9
1st number: 8 3/4, 2nd number: 8 3/9
35/4 + 75/9 is 205/12.
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,
35/4 = 35 × 9/4 × 9 = 315/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
75/9 = 75 × 4/9 × 4 = 300/36 - Add the two like fractions:
315/36 + 300/36 = 315 + 300/36 = 615/36 - 615/36 simplified gives 205/12
- So, 35/4 + 75/9 = 205/12
In mixed form: 171/12
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