Compare 9/32 and 42/90
9/32 is smaller than 42/90
Steps for comparing 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,
42/90 = 42 × 16/90 × 16 = 672/1440 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 405/1440 < 672/1440 or 9/32 < 42/90
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