Compare 40/75 and 8/7
1st number: 40/75, 2nd number: 1 1/7
40/75 is smaller than 8/7
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,
40/75 = 40 × 7/75 × 7 = 280/525 - Likewise, for the 2nd fraction, since 7 × 75 = 525,
8/7 = 8 × 75/7 × 75 = 600/525 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/525 < 600/525 or 40/75 < 8/7
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