Compare 45/56 and 35/84
45/56 is greater than 35/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 84 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 56 × 3 = 168,
45/56 = 45 × 3/56 × 3 = 135/168 - Likewise, for the 2nd fraction, since 84 × 2 = 168,
35/84 = 35 × 2/84 × 2 = 70/168 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 135/168 > 70/168 or 45/56 > 35/84
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