Compare 75/84 and 84/10
1st number: 75/84, 2nd number: 8 4/10
75/84 is smaller than 84/10
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 10 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
75/84 = 75 × 5/84 × 5 = 375/420 - Likewise, for the 2nd fraction, since 10 × 42 = 420,
84/10 = 84 × 42/10 × 42 = 3528/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 375/420 < 3528/420 or 75/84 < 84/10
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