Compare 1/64 and 21/70
1/64 is smaller than 21/70
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 70 is 2240
Next, find the equivalent fraction of both fractional numbers with denominator 2240 - For the 1st fraction, since 64 × 35 = 2240,
1/64 = 1 × 35/64 × 35 = 35/2240 - Likewise, for the 2nd fraction, since 70 × 32 = 2240,
21/70 = 21 × 32/70 × 32 = 672/2240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 35/2240 < 672/2240 or 1/64 < 21/70
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