Compare 30/75 and 30/40
30/75 is smaller than 30/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 40 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
30/75 = 30 × 8/75 × 8 = 240/600 - Likewise, for the 2nd fraction, since 40 × 15 = 600,
30/40 = 30 × 15/40 × 15 = 450/600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 240/600 < 450/600 or 30/75 < 30/40
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