Compare 6/45 and 30/56
6/45 is smaller than 30/56
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,
6/45 = 6 × 56/45 × 56 = 336/2520 - Likewise, for the 2nd fraction, since 56 × 45 = 2520,
30/56 = 30 × 45/56 × 45 = 1350/2520 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 336/2520 < 1350/2520 or 6/45 < 30/56
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