Compare 40/45 and 30/15
1st number: 40/45, 2nd number: 2 0/15
40/45 is smaller than 30/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 15 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 45 × 1 = 45,
40/45 = 40 × 1/45 × 1 = 40/45 - Likewise, for the 2nd fraction, since 15 × 3 = 45,
30/15 = 30 × 3/15 × 3 = 90/45 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/45 < 90/45 or 40/45 < 30/15
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