Compare 15/70 and 30/75
15/70 is smaller than 30/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 75 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 70 × 15 = 1050,
15/70 = 15 × 15/70 × 15 = 225/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
30/75 = 30 × 14/75 × 14 = 420/1050 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/1050 < 420/1050 or 15/70 < 30/75
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