Compare 30/90 and 9/32
30/90 is greater than 9/32
Steps for comparing 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,
9/32 = 9 × 45/32 × 45 = 405/1440 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 480/1440 > 405/1440 or 30/90 > 9/32
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