Compare 75/7 and 56/9
1st number: 10 5/7, 2nd number: 6 2/9
75/7 is greater than 56/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 9 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 7 × 9 = 63,
75/7 = 75 × 9/7 × 9 = 675/63 - Likewise, for the 2nd fraction, since 9 × 7 = 63,
56/9 = 56 × 7/9 × 7 = 392/63 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 675/63 > 392/63 or 75/7 > 56/9
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