Compare 45/84 and 56/70
45/84 is smaller than 56/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 70 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
45/84 = 45 × 5/84 × 5 = 225/420 - Likewise, for the 2nd fraction, since 70 × 6 = 420,
56/70 = 56 × 6/70 × 6 = 336/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/420 < 336/420 or 45/84 < 56/70
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