Add 9/32 and 40/90
9/32 + 40/90 is 209/288.
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,
9/32 = 9 × 45/32 × 45 = 405/1440 - Likewise, for the 2nd fraction, since 90 × 16 = 1440,
40/90 = 40 × 16/90 × 16 = 640/1440 - Add the two like fractions:
405/1440 + 640/1440 = 405 + 640/1440 = 1045/1440 - 1045/1440 simplified gives 209/288
- So, 9/32 + 40/90 = 209/288
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