Compare 8/25 and 5/12
825 is smaller than 512
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 12 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 25 × 12 = 300,
825 = 8 × 1225 × 12 = 96300 - Likewise, for the 2nd fraction, since 12 × 25 = 300,
512 = 5 × 2512 × 25 = 125300 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 96300 < 125300 or 825 < 512
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