Compare 6/30 and 40/15
1st number: 6/30, 2nd number: 2 10/15
6/30 is smaller than 40/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 15 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 30 × 1 = 30,
6/30 = 6 × 1/30 × 1 = 6/30 - Likewise, for the 2nd fraction, since 15 × 2 = 30,
40/15 = 40 × 2/15 × 2 = 80/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 6/30 < 80/30 or 6/30 < 40/15
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