Compare 10/14 and 21/45
10/14 is greater than 21/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 45 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 14 × 45 = 630,
10/14 = 10 × 45/14 × 45 = 450/630 - Likewise, for the 2nd fraction, since 45 × 14 = 630,
21/45 = 21 × 14/45 × 14 = 294/630 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 450/630 > 294/630 or 10/14 > 21/45
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