Compare 54/15 and 40/10
1st number: 3 9/15, 2nd number: 4 0/10
54/15 is smaller than 40/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 10 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 15 × 2 = 30,
54/15 = 54 × 2/15 × 2 = 108/30 - Likewise, for the 2nd fraction, since 10 × 3 = 30,
40/10 = 40 × 3/10 × 3 = 120/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/30 < 120/30 or 54/15 < 40/10
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