Compare 75/21 and 60/7
1st number: 3 12/21, 2nd number: 8 4/7
75/21 is smaller than 60/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 7 is 21
Next, find the equivalent fraction of both fractional numbers with denominator 21 - For the 1st fraction, since 21 × 1 = 21,
75/21 = 75 × 1/21 × 1 = 75/21 - Likewise, for the 2nd fraction, since 7 × 3 = 21,
60/7 = 60 × 3/7 × 3 = 180/21 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 75/21 < 180/21 or 75/21 < 60/7
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