Compare 2/35 and 7/64
2/35 is smaller than 7/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 64 is 2240
Next, find the equivalent fraction of both fractional numbers with denominator 2240 - For the 1st fraction, since 35 × 64 = 2240,
2/35 = 2 × 64/35 × 64 = 128/2240 - Likewise, for the 2nd fraction, since 64 × 35 = 2240,
7/64 = 7 × 35/64 × 35 = 245/2240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 128/2240 < 245/2240 or 2/35 < 7/64
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