Compare 3/5 and 45/56
3/5 is smaller than 45/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 56 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 5 × 56 = 280,
3/5 = 3 × 56/5 × 56 = 168/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
45/56 = 45 × 5/56 × 5 = 225/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/280 < 225/280 or 3/5 < 45/56
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