Compare 9/15 and 45/16
1st number: 9/15, 2nd number: 2 13/16
9/15 is smaller than 45/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 16 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 15 × 16 = 240,
9/15 = 9 × 16/15 × 16 = 144/240 - Likewise, for the 2nd fraction, since 16 × 15 = 240,
45/16 = 45 × 15/16 × 15 = 675/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 144/240 < 675/240 or 9/15 < 45/16
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