Compare 6/70 and 40/64
6/70 is smaller than 40/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 64 is 2240
Next, find the equivalent fraction of both fractional numbers with denominator 2240 - For the 1st fraction, since 70 × 32 = 2240,
6/70 = 6 × 32/70 × 32 = 192/2240 - Likewise, for the 2nd fraction, since 64 × 35 = 2240,
40/64 = 40 × 35/64 × 35 = 1400/2240 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 192/2240 < 1400/2240 or 6/70 < 40/64
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