Compare 30/45 and 4/56
30/45 is greater than 4/56
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,
30/45 = 30 × 56/45 × 56 = 1680/2520 - Likewise, for the 2nd fraction, since 56 × 45 = 2520,
4/56 = 4 × 45/56 × 45 = 180/2520 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1680/2520 > 180/2520 or 30/45 > 4/56
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