Compare 3/75 and 4/7
3/75 is smaller than 4/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 7 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
3/75 = 3 × 7/75 × 7 = 21/525 - Likewise, for the 2nd fraction, since 7 × 75 = 525,
4/7 = 4 × 75/7 × 75 = 300/525 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 21/525 < 300/525 or 3/75 < 4/7
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