Compare 7/27 and 45/60
7/27 is smaller than 45/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 60 is 540
Next, find the equivalent fraction of both fractional numbers with denominator 540 - For the 1st fraction, since 27 × 20 = 540,
7/27 = 7 × 20/27 × 20 = 140/540 - Likewise, for the 2nd fraction, since 60 × 9 = 540,
45/60 = 45 × 9/60 × 9 = 405/540 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 140/540 < 405/540 or 7/27 < 45/60
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