Compare 10/75 and 35/4
1st number: 10/75, 2nd number: 8 3/4
10/75 is smaller than 35/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 4 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 75 × 4 = 300,
10/75 = 10 × 4/75 × 4 = 40/300 - Likewise, for the 2nd fraction, since 4 × 75 = 300,
35/4 = 35 × 75/4 × 75 = 2625/300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/300 < 2625/300 or 10/75 < 35/4
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