Compare 70/75 and 15/7
1st number: 70/75, 2nd number: 2 1/7
70/75 is smaller than 15/7
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,
70/75 = 70 × 7/75 × 7 = 490/525 - Likewise, for the 2nd fraction, since 7 × 75 = 525,
15/7 = 15 × 75/7 × 75 = 1125/525 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 490/525 < 1125/525 or 70/75 < 15/7
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