Compare 36/80 and 10/15
36/80 is smaller than 10/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 80 and 15 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 80 × 3 = 240,
36/80 = 36 × 3/80 × 3 = 108/240 - Likewise, for the 2nd fraction, since 15 × 16 = 240,
10/15 = 10 × 16/15 × 16 = 160/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/240 < 160/240 or 36/80 < 10/15
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