Add 75/32 and 42/9
1st number: 2 11/32, 2nd number: 4 6/9
75/32 + 42/9 is 673/96.
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,
42/9 = 42 × 32/9 × 32 = 1344/288 - Add the two like fractions:
675/288 + 1344/288 = 675 + 1344/288 = 2019/288 - 2019/288 simplified gives 673/96
- So, 75/32 + 42/9 = 673/96
In mixed form: 71/96
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