Compare 10/14 and 75/84
10/14 is smaller than 75/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 84 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 14 × 6 = 84,
10/14 = 10 × 6/14 × 6 = 60/84 - Likewise, for the 2nd fraction, since 84 × 1 = 84,
75/84 = 75 × 1/84 × 1 = 75/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/84 < 75/84 or 10/14 < 75/84
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