Compare 75/8 and 21/14
1st number: 9 3/8, 2nd number: 1 7/14
75/8 is greater than 21/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 14 is 56
Next, find the equivalent fraction of both fractional numbers with denominator 56 - For the 1st fraction, since 8 × 7 = 56,
75/8 = 75 × 7/8 × 7 = 525/56 - Likewise, for the 2nd fraction, since 14 × 4 = 56,
21/14 = 21 × 4/14 × 4 = 84/56 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 525/56 > 84/56 or 75/8 > 21/14
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