Compare 42/75 and 24/35
42/75 is smaller than 24/35
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,
42/75 = 42 × 7/75 × 7 = 294/525 - Likewise, for the 2nd fraction, since 35 × 15 = 525,
24/35 = 24 × 15/35 × 15 = 360/525 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/525 < 360/525 or 42/75 < 24/35
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