Compare 30/10 and 75/3
1st number: 3 0/10, 2nd number: 25 0/3
30/10 is smaller than 75/3
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 3 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 10 × 3 = 30,
30/10 = 30 × 3/10 × 3 = 90/30 - Likewise, for the 2nd fraction, since 3 × 10 = 30,
75/3 = 75 × 10/3 × 10 = 750/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/30 < 750/30 or 30/10 < 75/3
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