Compare 75/2 and 28/7
1st number: 37 1/2, 2nd number: 4 0/7
75/2 is greater than 28/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 7 is 14
Next, find the equivalent fraction of both fractional numbers with denominator 14 - For the 1st fraction, since 2 × 7 = 14,
75/2 = 75 × 7/2 × 7 = 525/14 - Likewise, for the 2nd fraction, since 7 × 2 = 14,
28/7 = 28 × 2/7 × 2 = 56/14 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 525/14 > 56/14 or 75/2 > 28/7
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