Compare 10/25 and 40/64
10/25 is smaller than 40/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 64 is 1600
Next, find the equivalent fraction of both fractional numbers with denominator 1600 - For the 1st fraction, since 25 × 64 = 1600,
10/25 = 10 × 64/25 × 64 = 640/1600 - Likewise, for the 2nd fraction, since 64 × 25 = 1600,
40/64 = 40 × 25/64 × 25 = 1000/1600 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 640/1600 < 1000/1600 or 10/25 < 40/64
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