Compare 7/2 and 75/15
1st number: 3 1/2, 2nd number: 5 0/15
7/2 is smaller than 75/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 15 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 2 × 15 = 30,
7/2 = 7 × 15/2 × 15 = 105/30 - Likewise, for the 2nd fraction, since 15 × 2 = 30,
75/15 = 75 × 2/15 × 2 = 150/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/30 < 150/30 or 7/2 < 75/15
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