Compare 45/75 and 2/21
45/75 is greater than 2/21
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,
45/75 = 45 × 7/75 × 7 = 315/525 - Likewise, for the 2nd fraction, since 21 × 25 = 525,
2/21 = 2 × 25/21 × 25 = 50/525 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/525 > 50/525 or 45/75 > 2/21
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