Compare 8/30 and 40/9
1st number: 8/30, 2nd number: 4 4/9
8/30 is smaller than 40/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 9 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 9 × 10 = 90,
40/9 = 40 × 10/9 × 10 = 400/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/90 < 400/90 or 8/30 < 40/9
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