Compare 45/84 and 16/45
45/84 is greater than 16/45
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 45 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 84 × 15 = 1260,
45/84 = 45 × 15/84 × 15 = 675/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
16/45 = 16 × 28/45 × 28 = 448/1260 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 675/1260 > 448/1260 or 45/84 > 16/45
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