Compare 45/56 and 21/10
1st number: 45/56, 2nd number: 2 1/10
45/56 is smaller than 21/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 10 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 56 × 5 = 280,
45/56 = 45 × 5/56 × 5 = 225/280 - Likewise, for the 2nd fraction, since 10 × 28 = 280,
21/10 = 21 × 28/10 × 28 = 588/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/280 < 588/280 or 45/56 < 21/10
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