Compare 2/64 and 30/42
2/64 is smaller than 30/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 42 is 1344
Next, find the equivalent fraction of both fractional numbers with denominator 1344 - For the 1st fraction, since 64 × 21 = 1344,
2/64 = 2 × 21/64 × 21 = 42/1344 - Likewise, for the 2nd fraction, since 42 × 32 = 1344,
30/42 = 30 × 32/42 × 32 = 960/1344 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/1344 < 960/1344 or 2/64 < 30/42
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