Compare 36/5 and 75/8
1st number: 7 1/5, 2nd number: 9 3/8
36/5 is smaller than 75/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 8 is 40
Next, find the equivalent fraction of both fractional numbers with denominator 40 - For the 1st fraction, since 5 × 8 = 40,
36/5 = 36 × 8/5 × 8 = 288/40 - Likewise, for the 2nd fraction, since 8 × 5 = 40,
75/8 = 75 × 5/8 × 5 = 375/40 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 288/40 < 375/40 or 36/5 < 75/8
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