Compare 54/15 and 40/32
1st number: 3 9/15, 2nd number: 1 8/32
54/15 is greater than 40/32
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 32 is 480
Next, find the equivalent fraction of both fractional numbers with denominator 480 - For the 1st fraction, since 15 × 32 = 480,
54/15 = 54 × 32/15 × 32 = 1728/480 - Likewise, for the 2nd fraction, since 32 × 15 = 480,
40/32 = 40 × 15/32 × 15 = 600/480 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1728/480 > 600/480 or 54/15 > 40/32
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