Compare 20/90 and 2/75
20/90 is greater than 2/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 75 is 450
Next, find the equivalent fraction of both fractional numbers with denominator 450 - For the 1st fraction, since 90 × 5 = 450,
20/90 = 20 × 5/90 × 5 = 100/450 - Likewise, for the 2nd fraction, since 75 × 6 = 450,
2/75 = 2 × 6/75 × 6 = 12/450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 100/450 > 12/450 or 20/90 > 2/75
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