Compare 10/16 and 36/45
10/16 is smaller than 36/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 45 is 720
Next, find the equivalent fraction of both fractional numbers with denominator 720 - For the 1st fraction, since 16 × 45 = 720,
10/16 = 10 × 45/16 × 45 = 450/720 - Likewise, for the 2nd fraction, since 45 × 16 = 720,
36/45 = 36 × 16/45 × 16 = 576/720 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 450/720 < 576/720 or 10/16 < 36/45
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