Compare 2/56 and 45/90
2/56 is smaller than 45/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 90 is 2520
Next, find the equivalent fraction of both fractional numbers with denominator 2520 - For the 1st fraction, since 56 × 45 = 2520,
2/56 = 2 × 45/56 × 45 = 90/2520 - Likewise, for the 2nd fraction, since 90 × 28 = 2520,
45/90 = 45 × 28/90 × 28 = 1260/2520 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/2520 < 1260/2520 or 2/56 < 45/90
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