Compare 75/80 and 40/7
1st number: 75/80, 2nd number: 5 5/7
75/80 is smaller than 40/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 7 is 560
Next, find the equivalent fraction of both fractional numbers with denominator 560 - For the 1st fraction, since 80 × 7 = 560,
75/80 = 75 × 7/80 × 7 = 525/560 - Likewise, for the 2nd fraction, since 7 × 80 = 560,
40/7 = 40 × 80/7 × 80 = 3200/560 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 525/560 < 3200/560 or 75/80 < 40/7
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