Compare 1/4 and 56/90
1/4 is smaller than 56/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 90 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 4 × 45 = 180,
1/4 = 1 × 45/4 × 45 = 45/180 - Likewise, for the 2nd fraction, since 90 × 2 = 180,
56/90 = 56 × 2/90 × 2 = 112/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/180 < 112/180 or 1/4 < 56/90
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