Compare 30/75 and 70/90
30/75 is smaller than 70/90
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,
30/75 = 30 × 6/75 × 6 = 180/450 - Likewise, for the 2nd fraction, since 90 × 5 = 450,
70/90 = 70 × 5/90 × 5 = 350/450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/450 < 350/450 or 30/75 < 70/90
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