Compare 5/56 and 21/45
5/56 is smaller than 21/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 45 is 2520
Next, find the equivalent fraction of both fractional numbers with denominator 2520 - For the 1st fraction, since 56 × 45 = 2520,
5/56 = 5 × 45/56 × 45 = 225/2520 - Likewise, for the 2nd fraction, since 45 × 56 = 2520,
21/45 = 21 × 56/45 × 56 = 1176/2520 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/2520 < 1176/2520 or 5/56 < 21/45
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