Compare 15/75 and 98/7
1st number: 15/75, 2nd number: 14 0/7
15/75 is smaller than 98/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 7 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
15/75 = 15 × 7/75 × 7 = 105/525 - Likewise, for the 2nd fraction, since 7 × 75 = 525,
98/7 = 98 × 75/7 × 75 = 7350/525 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 105/525 < 7350/525 or 15/75 < 98/7
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