Compare 40/90 and 28/32
40/90 is smaller than 28/32
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,
40/90 = 40 × 16/90 × 16 = 640/1440 - Likewise, for the 2nd fraction, since 32 × 45 = 1440,
28/32 = 28 × 45/32 × 45 = 1260/1440 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 640/1440 < 1260/1440 or 40/90 < 28/32
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