Compare 10/28 and 40/84
10/28 is smaller than 40/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 84 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 28 × 3 = 84,
10/28 = 10 × 3/28 × 3 = 30/84 - Likewise, for the 2nd fraction, since 84 × 1 = 84,
40/84 = 40 × 1/84 × 1 = 40/84 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/84 < 40/84 or 10/28 < 40/84
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