Add 75/32 and 40/90
1st number: 2 11/32, 2nd number: 40/90
75/32 + 40/90 is 803/288.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 90 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 32 × 45 = 1440,
75/32 = 75 × 45/32 × 45 = 3375/1440 - Likewise, for the 2nd fraction, since 90 × 16 = 1440,
40/90 = 40 × 16/90 × 16 = 640/1440 - Add the two like fractions:
3375/1440 + 640/1440 = 3375 + 640/1440 = 4015/1440 - 4015/1440 simplified gives 803/288
- So, 75/32 + 40/90 = 803/288
In mixed form: 2227/288
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