Compare 30/75 and 40/16
1st number: 30/75, 2nd number: 2 8/16
30/75 is smaller than 40/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 16 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 75 × 16 = 1200,
30/75 = 30 × 16/75 × 16 = 480/1200 - Likewise, for the 2nd fraction, since 16 × 75 = 1200,
40/16 = 40 × 75/16 × 75 = 3000/1200 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 480/1200 < 3000/1200 or 30/75 < 40/16
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