Compare 30/10 and 40/75
1st number: 3 0/10, 2nd number: 40/75
30/10 is greater than 40/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 75 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 10 × 15 = 150,
30/10 = 30 × 15/10 × 15 = 450/150 - Likewise, for the 2nd fraction, since 75 × 2 = 150,
40/75 = 40 × 2/75 × 2 = 80/150 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 450/150 > 80/150 or 30/10 > 40/75
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