Compare 6/35 and 45/80
6/35 is smaller than 45/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 80 is 560
Next, find the equivalent fraction of both fractional numbers with denominator 560 - For the 1st fraction, since 35 × 16 = 560,
6/35 = 6 × 16/35 × 16 = 96/560 - Likewise, for the 2nd fraction, since 80 × 7 = 560,
45/80 = 45 × 7/80 × 7 = 315/560 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 96/560 < 315/560 or 6/35 < 45/80
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