Compare 4/64 and 30/50
4/64 is smaller than 30/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 50 is 1600
Next, find the equivalent fraction of both fractional numbers with denominator 1600 - For the 1st fraction, since 64 × 25 = 1600,
4/64 = 4 × 25/64 × 25 = 100/1600 - Likewise, for the 2nd fraction, since 50 × 32 = 1600,
30/50 = 30 × 32/50 × 32 = 960/1600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 100/1600 < 960/1600 or 4/64 < 30/50
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