Compare 4/56 and 10/45
4/56 is smaller than 10/45
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,
4/56 = 4 × 45/56 × 45 = 180/2520 - Likewise, for the 2nd fraction, since 45 × 56 = 2520,
10/45 = 10 × 56/45 × 56 = 560/2520 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/2520 < 560/2520 or 4/56 < 10/45
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