Compare 36/60 and 24/27
36/60 is smaller than 24/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 27 is 540
Next, find the equivalent fraction of both fractional numbers with denominator 540 - For the 1st fraction, since 60 × 9 = 540,
36/60 = 36 × 9/60 × 9 = 324/540 - Likewise, for the 2nd fraction, since 27 × 20 = 540,
24/27 = 24 × 20/27 × 20 = 480/540 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 324/540 < 480/540 or 36/60 < 24/27
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