Add 30/90 and 27/32
30/90 + 27/32 is 113/96.
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,
30/90 = 30 × 16/90 × 16 = 480/1440 - Likewise, for the 2nd fraction, since 32 × 45 = 1440,
27/32 = 27 × 45/32 × 45 = 1215/1440 - Add the two like fractions:
480/1440 + 1215/1440 = 480 + 1215/1440 = 1695/1440 - 1695/1440 simplified gives 113/96
- So, 30/90 + 27/32 = 113/96
In mixed form: 117/96
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