Compare 21/3 and 45/14
1st number: 7 0/3, 2nd number: 3 3/14
21/3 is greater than 45/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 14 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 3 × 14 = 42,
21/3 = 21 × 14/3 × 14 = 294/42 - Likewise, for the 2nd fraction, since 14 × 3 = 42,
45/14 = 45 × 3/14 × 3 = 135/42 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/42 > 135/42 or 21/3 > 45/14
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