Compare 6/21 and 42/75
6/21 is smaller than 42/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 75 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 21 × 25 = 525,
6/21 = 6 × 25/21 × 25 = 150/525 - Likewise, for the 2nd fraction, since 75 × 7 = 525,
42/75 = 42 × 7/75 × 7 = 294/525 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/525 < 294/525 or 6/21 < 42/75
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