Compare 1/7 and 35/80
1/7 is smaller than 35/80
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,
1/7 = 1 × 80/7 × 80 = 80/560 - Likewise, for the 2nd fraction, since 80 × 7 = 560,
35/80 = 35 × 7/80 × 7 = 245/560 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/560 < 245/560 or 1/7 < 35/80
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