Compare 10/15 and 40/16
1st number: 10/15, 2nd number: 2 8/16
10/15 is smaller than 40/16
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,
10/15 = 10 × 16/15 × 16 = 160/240 - Likewise, for the 2nd fraction, since 16 × 15 = 240,
40/16 = 40 × 15/16 × 15 = 600/240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/240 < 600/240 or 10/15 < 40/16
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