Compare 40/42 and 45/84
40/42 is greater than 45/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 84 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 42 × 2 = 84,
40/42 = 40 × 2/42 × 2 = 80/84 - Likewise, for the 2nd fraction, since 84 × 1 = 84,
45/84 = 45 × 1/84 × 1 = 45/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/84 > 45/84 or 40/42 > 45/84
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