Compare 30/75 and 4/64
30/75 is greater than 4/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 64 is 4800
Next, find the equivalent fraction of both fractional numbers with denominator 4800 - For the 1st fraction, since 75 × 64 = 4800,
30/75 = 30 × 64/75 × 64 = 1920/4800 - Likewise, for the 2nd fraction, since 64 × 75 = 4800,
4/64 = 4 × 75/64 × 75 = 300/4800 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1920/4800 > 300/4800 or 30/75 > 4/64
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