Compare 3/56 and 45/50
3/56 is smaller than 45/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 50 is 1400
Next, find the equivalent fraction of both fractional numbers with denominator 1400 - For the 1st fraction, since 56 × 25 = 1400,
3/56 = 3 × 25/56 × 25 = 75/1400 - Likewise, for the 2nd fraction, since 50 × 28 = 1400,
45/50 = 45 × 28/50 × 28 = 1260/1400 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 75/1400 < 1260/1400 or 3/56 < 45/50
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