Compare 80/28 and 40/75
1st number: 2 24/28, 2nd number: 40/75
80/28 is greater than 40/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 75 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 28 × 75 = 2100,
80/28 = 80 × 75/28 × 75 = 6000/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
40/75 = 40 × 28/75 × 28 = 1120/2100 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 6000/2100 > 1120/2100 or 80/28 > 40/75
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