Compare 20/45 and 35/56
20/45 is smaller than 35/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 56 is 2520
Next, find the equivalent fraction of both fractional numbers with denominator 2520 - For the 1st fraction, since 45 × 56 = 2520,
20/45 = 20 × 56/45 × 56 = 1120/2520 - Likewise, for the 2nd fraction, since 56 × 45 = 2520,
35/56 = 35 × 45/56 × 45 = 1575/2520 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1120/2520 < 1575/2520 or 20/45 < 35/56
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