Compare 75/8 and 40/7
1st number: 9 3/8, 2nd number: 5 5/7
75/8 is greater than 40/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 7 is 56
Next, find the equivalent fraction of both fractional numbers with denominator 56 - For the 1st fraction, since 8 × 7 = 56,
75/8 = 75 × 7/8 × 7 = 525/56 - Likewise, for the 2nd fraction, since 7 × 8 = 56,
40/7 = 40 × 8/7 × 8 = 320/56 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 525/56 > 320/56 or 75/8 > 40/7
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