Compare 10/21 and 16/45
10/21 is greater than 16/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 21 × 15 = 315,
10/21 = 10 × 15/21 × 15 = 150/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
16/45 = 16 × 7/45 × 7 = 112/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/315 > 112/315 or 10/21 > 16/45
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