Compare 21/75 and 10/18
21/75 is smaller than 10/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 18 is 450
Next, find the equivalent fraction of both fractional numbers with denominator 450 - For the 1st fraction, since 75 × 6 = 450,
21/75 = 21 × 6/75 × 6 = 126/450 - Likewise, for the 2nd fraction, since 18 × 25 = 450,
10/18 = 10 × 25/18 × 25 = 250/450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 126/450 < 250/450 or 21/75 < 10/18
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