Add 75/32 and 40/9
1st number: 2 11/32, 2nd number: 4 4/9
75/32 + 40/9 is 1955/288.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 9 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 32 × 9 = 288,
75/32 = 75 × 9/32 × 9 = 675/288 - Likewise, for the 2nd fraction, since 9 × 32 = 288,
40/9 = 40 × 32/9 × 32 = 1280/288 - Add the two like fractions:
675/288 + 1280/288 = 675 + 1280/288 = 1955/288 - So, 75/32 + 40/9 = 1955/288
In mixed form: 6227/288
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