Compare 75/4 and 21/14
1st number: 18 3/4, 2nd number: 1 7/14
75/4 is greater than 21/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 14 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 4 × 7 = 28,
75/4 = 75 × 7/4 × 7 = 525/28 - Likewise, for the 2nd fraction, since 14 × 2 = 28,
21/14 = 21 × 2/14 × 2 = 42/28 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 525/28 > 42/28 or 75/4 > 21/14
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