Compare 3/7 and 75/80
3/7 is smaller than 75/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 80 is 560
Next, find the equivalent fraction of both fractional numbers with denominator 560 - For the 1st fraction, since 7 × 80 = 560,
3/7 = 3 × 80/7 × 80 = 240/560 - Likewise, for the 2nd fraction, since 80 × 7 = 560,
75/80 = 75 × 7/80 × 7 = 525/560 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 240/560 < 525/560 or 3/7 < 75/80
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