Add 75/90 and 9/32
75/90 + 9/32 is 107/96.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 32 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 90 × 16 = 1440,
75/90 = 75 × 16/90 × 16 = 1200/1440 - Likewise, for the 2nd fraction, since 32 × 45 = 1440,
9/32 = 9 × 45/32 × 45 = 405/1440 - Add the two like fractions:
1200/1440 + 405/1440 = 1200 + 405/1440 = 1605/1440 - 1605/1440 simplified gives 107/96
- So, 75/90 + 9/32 = 107/96
In mixed form: 111/96
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