Compare 30/72 and 40/90
30/72 is smaller than 40/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 90 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 72 × 5 = 360,
30/72 = 30 × 5/72 × 5 = 150/360 - Likewise, for the 2nd fraction, since 90 × 4 = 360,
40/90 = 40 × 4/90 × 4 = 160/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/360 < 160/360 or 30/72 < 40/90
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