Compare 45/75 and 40/90
45/75 is greater than 40/90
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 90 is 450
Next, find the equivalent fraction of both fractional numbers with denominator 450 - For the 1st fraction, since 75 × 6 = 450,
45/75 = 45 × 6/75 × 6 = 270/450 - Likewise, for the 2nd fraction, since 90 × 5 = 450,
40/90 = 40 × 5/90 × 5 = 200/450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/450 > 200/450 or 45/75 > 40/90
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