Add 35/9 and 30/24
1st number: 3 8/9, 2nd number: 1 6/24
35/9 + 30/24 is 185/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 24 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 9 × 8 = 72,
35/9 = 35 × 8/9 × 8 = 280/72 - Likewise, for the 2nd fraction, since 24 × 3 = 72,
30/24 = 30 × 3/24 × 3 = 90/72 - Add the two like fractions:
280/72 + 90/72 = 280 + 90/72 = 370/72 - 370/72 simplified gives 185/36
- So, 35/9 + 30/24 = 185/36
In mixed form: 55/36
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