Compare 10/9 and 75/56
1st number: 1 1/9, 2nd number: 1 19/56
10/9 is smaller than 75/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 56 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 9 × 56 = 504,
10/9 = 10 × 56/9 × 56 = 560/504 - Likewise, for the 2nd fraction, since 56 × 9 = 504,
75/56 = 75 × 9/56 × 9 = 675/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 560/504 < 675/504 or 10/9 < 75/56
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