Compare 12/20 and 40/8
1st number: 12/20, 2nd number: 5 0/8
12/20 is smaller than 40/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 8 is 40
Next, find the equivalent fraction of both fractional numbers with denominator 40 - For the 1st fraction, since 20 × 2 = 40,
12/20 = 12 × 2/20 × 2 = 24/40 - Likewise, for the 2nd fraction, since 8 × 5 = 40,
40/8 = 40 × 5/8 × 5 = 200/40 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 24/40 < 200/40 or 12/20 < 40/8
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