Compare 2/18 and 45/56
2/18 is smaller than 45/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 56 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 18 × 28 = 504,
2/18 = 2 × 28/18 × 28 = 56/504 - Likewise, for the 2nd fraction, since 56 × 9 = 504,
45/56 = 45 × 9/56 × 9 = 405/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 56/504 < 405/504 or 2/18 < 45/56
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