Compare 45/84 and 40/16
1st number: 45/84, 2nd number: 2 8/16
45/84 is smaller than 40/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 16 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 84 × 4 = 336,
45/84 = 45 × 4/84 × 4 = 180/336 - Likewise, for the 2nd fraction, since 16 × 21 = 336,
40/16 = 40 × 21/16 × 21 = 840/336 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/336 < 840/336 or 45/84 < 40/16
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