Compare 5/75 and 8/21
5/75 is smaller than 8/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 21 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
5/75 = 5 × 7/75 × 7 = 35/525 - Likewise, for the 2nd fraction, since 21 × 25 = 525,
8/21 = 8 × 25/21 × 25 = 200/525 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 35/525 < 200/525 or 5/75 < 8/21
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