Add 27/90 and 30/32
27/90 + 30/32 is 99/80.
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,
27/90 = 27 × 16/90 × 16 = 432/1440 - Likewise, for the 2nd fraction, since 32 × 45 = 1440,
30/32 = 30 × 45/32 × 45 = 1350/1440 - Add the two like fractions:
432/1440 + 1350/1440 = 432 + 1350/1440 = 1782/1440 - 1782/1440 simplified gives 99/80
- So, 27/90 + 30/32 = 99/80
In mixed form: 119/80
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