Compare 30/75 and 40/35
1st number: 30/75, 2nd number: 1 5/35
30/75 is smaller than 40/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 35 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
30/75 = 30 × 7/75 × 7 = 210/525 - Likewise, for the 2nd fraction, since 35 × 15 = 525,
40/35 = 40 × 15/35 × 15 = 600/525 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 210/525 < 600/525 or 30/75 < 40/35
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