Compare 4/9 and 42/75
4/9 is smaller than 42/75
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 75 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 9 × 25 = 225,
4/9 = 4 × 25/9 × 25 = 100/225 - Likewise, for the 2nd fraction, since 75 × 3 = 225,
42/75 = 42 × 3/75 × 3 = 126/225 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 100/225 < 126/225 or 4/9 < 42/75
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