Compare 75/7 and 80/8
1st number: 10 5/7, 2nd number: 10 0/8
75/7 is greater than 80/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 8 is 56
Next, find the equivalent fraction of both fractional numbers with denominator 56 - For the 1st fraction, since 7 × 8 = 56,
75/7 = 75 × 8/7 × 8 = 600/56 - Likewise, for the 2nd fraction, since 8 × 7 = 56,
80/8 = 80 × 7/8 × 7 = 560/56 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 600/56 > 560/56 or 75/7 > 80/8
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