Compare 6/15 and 35/80
6/15 is smaller than 35/80
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 80 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 15 × 16 = 240,
6/15 = 6 × 16/15 × 16 = 96/240 - Likewise, for the 2nd fraction, since 80 × 3 = 240,
35/80 = 35 × 3/80 × 3 = 105/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 96/240 < 105/240 or 6/15 < 35/80
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