Compare 30/64 and 24/49
30/64 is smaller than 24/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 49 is 3136
Next, find the equivalent fraction of both fractional numbers with denominator 3136 - For the 1st fraction, since 64 × 49 = 3136,
30/64 = 30 × 49/64 × 49 = 1470/3136 - Likewise, for the 2nd fraction, since 49 × 64 = 3136,
24/49 = 24 × 64/49 × 64 = 1536/3136 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1470/3136 < 1536/3136 or 30/64 < 24/49
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