Compare 40/45 and 7/56
40/45 is greater than 7/56
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,
40/45 = 40 × 56/45 × 56 = 2240/2520 - Likewise, for the 2nd fraction, since 56 × 45 = 2520,
7/56 = 7 × 45/56 × 45 = 315/2520 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2240/2520 > 315/2520 or 40/45 > 7/56
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