Compare 10/40 and 5/6
10/40 is smaller than 5/6
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 6 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 40 × 3 = 120,
10/40 = 10 × 3/40 × 3 = 30/120 - Likewise, for the 2nd fraction, since 6 × 20 = 120,
5/6 = 5 × 20/6 × 20 = 100/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/120 < 100/120 or 10/40 < 5/6
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