Compare 40/45 and 75/84
40/45 is smaller than 75/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 84 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 45 × 28 = 1260,
40/45 = 40 × 28/45 × 28 = 1120/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
75/84 = 75 × 15/84 × 15 = 1125/1260 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1120/1260 < 1125/1260 or 40/45 < 75/84
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