Compare 21/42 and 10/45
21/42 is greater than 10/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 45 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 42 × 15 = 630,
21/42 = 21 × 15/42 × 15 = 315/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
10/45 = 10 × 14/45 × 14 = 140/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/630 > 140/630 or 21/42 > 10/45
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