Compare 40/20 and 40/75
1st number: 2 0/20, 2nd number: 40/75
40/20 is greater than 40/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 75 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 20 × 15 = 300,
40/20 = 40 × 15/20 × 15 = 600/300 - Likewise, for the 2nd fraction, since 75 × 4 = 300,
40/75 = 40 × 4/75 × 4 = 160/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 600/300 > 160/300 or 40/20 > 40/75
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