Compare 20/35 and 40/84
20/35 is greater than 40/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 35 × 12 = 420,
20/35 = 20 × 12/35 × 12 = 240/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
40/84 = 40 × 5/84 × 5 = 200/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 240/420 > 200/420 or 20/35 > 40/84
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