Compare 30/90 and 49/75
30/90 is smaller than 49/75
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,
30/90 = 30 × 5/90 × 5 = 150/450 - Likewise, for the 2nd fraction, since 75 × 6 = 450,
49/75 = 49 × 6/75 × 6 = 294/450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/450 < 294/450 or 30/90 < 49/75
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