Compare 30/64 and 24/35
30/64 is smaller than 24/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 35 is 2240
Next, find the equivalent fraction of both fractional numbers with denominator 2240 - For the 1st fraction, since 64 × 35 = 2240,
30/64 = 30 × 35/64 × 35 = 1050/2240 - Likewise, for the 2nd fraction, since 35 × 64 = 2240,
24/35 = 24 × 64/35 × 64 = 1536/2240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1050/2240 < 1536/2240 or 30/64 < 24/35
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