Compare 2/5 and 45/84
2/5 is smaller than 45/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 5 × 84 = 420,
2/5 = 2 × 84/5 × 84 = 168/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
45/84 = 45 × 5/84 × 5 = 225/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 168/420 < 225/420 or 2/5 < 45/84
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