Compare 4/35 and 21/64
4/35 is smaller than 21/64
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,
4/35 = 4 × 64/35 × 64 = 256/2240 - Likewise, for the 2nd fraction, since 64 × 35 = 2240,
21/64 = 21 × 35/64 × 35 = 735/2240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 256/2240 < 735/2240 or 4/35 < 21/64
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