Compare 8/30 and 40/90
8/30 is smaller than 40/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 90 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 30 × 3 = 90,
8/30 = 8 × 3/30 × 3 = 24/90 - Likewise, for the 2nd fraction, since 90 × 1 = 90,
40/90 = 40 × 1/90 × 1 = 40/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/90 < 40/90 or 8/30 < 40/90
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