Compare 1/4 and 12/40
1/4 is smaller than 12/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 40 is 40
Next, find the equivalent fraction of both fractional numbers with denominator 40 - For the 1st fraction, since 4 × 10 = 40,
1/4 = 1 × 10/4 × 10 = 10/40 - Likewise, for the 2nd fraction, since 40 × 1 = 40,
12/40 = 12 × 1/40 × 1 = 12/40 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 10/40 < 12/40 or 1/4 < 12/40
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