Compare 10/45 and 24/56
10/45 is smaller than 24/56
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,
10/45 = 10 × 56/45 × 56 = 560/2520 - Likewise, for the 2nd fraction, since 56 × 45 = 2520,
24/56 = 24 × 45/56 × 45 = 1080/2520 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 560/2520 < 1080/2520 or 10/45 < 24/56
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