Compare 9/25 and 36/72
9/25 is smaller than 36/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 25 and 72 is 1800
Next, find the equivalent fraction of both fractional numbers with denominator 1800 - For the 1st fraction, since 25 × 72 = 1800,
9/25 = 9 × 72/25 × 72 = 648/1800 - Likewise, for the 2nd fraction, since 72 × 25 = 1800,
36/72 = 36 × 25/72 × 25 = 900/1800 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 648/1800 < 900/1800 or 9/25 < 36/72
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