Add 27/32 and 40/90
27/32 + 40/90 is 371/288.
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,
27/32 = 27 × 45/32 × 45 = 1215/1440 - Likewise, for the 2nd fraction, since 90 × 16 = 1440,
40/90 = 40 × 16/90 × 16 = 640/1440 - Add the two like fractions:
1215/1440 + 640/1440 = 1215 + 640/1440 = 1855/1440 - 1855/1440 simplified gives 371/288
- So, 27/32 + 40/90 = 371/288
In mixed form: 183/288
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