Compare 75/30 and 32/6
1st number: 2 15/30, 2nd number: 5 2/6
75/30 is smaller than 32/6
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 6 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 30 × 1 = 30,
75/30 = 75 × 1/30 × 1 = 75/30 - Likewise, for the 2nd fraction, since 6 × 5 = 30,
32/6 = 32 × 5/6 × 5 = 160/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 75/30 < 160/30 or 75/30 < 32/6
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