Compare 10/80 and 9/35
10/80 is smaller than 9/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 35 is 560
Next, find the equivalent fraction of both fractional numbers with denominator 560 - For the 1st fraction, since 80 × 7 = 560,
10/80 = 10 × 7/80 × 7 = 70/560 - Likewise, for the 2nd fraction, since 35 × 16 = 560,
9/35 = 9 × 16/35 × 16 = 144/560 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 70/560 < 144/560 or 10/80 < 9/35
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