Compare 7/2 and 10/5
1st number: 3 1/2, 2nd number: 2 0/5
72 is greater than 105
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 5 is 10
Next, find the equivalent fraction of both fractional numbers with denominator 10 - For the 1st fraction, since 2 × 5 = 10,
72 = 7 × 52 × 5 = 3510 - Likewise, for the 2nd fraction, since 5 × 2 = 10,
105 = 10 × 25 × 2 = 2010 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 3510 > 2010 or 72 > 105
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