Compare 40/75 and 7/5
1st number: 40/75, 2nd number: 1 2/5
40/75 is smaller than 7/5
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 5 is 75
Next, find the equivalent fraction of both fractional numbers with denominator 75 - For the 1st fraction, since 75 × 1 = 75,
40/75 = 40 × 1/75 × 1 = 40/75 - Likewise, for the 2nd fraction, since 5 × 15 = 75,
7/5 = 7 × 15/5 × 15 = 105/75 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/75 < 105/75 or 40/75 < 7/5
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