Compare 10/27 and 18/48
10/27 is smaller than 18/48
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 48 is 432
Next, find the equivalent fraction of both fractional numbers with denominator 432 - For the 1st fraction, since 27 × 16 = 432,
10/27 = 10 × 16/27 × 16 = 160/432 - Likewise, for the 2nd fraction, since 48 × 9 = 432,
18/48 = 18 × 9/48 × 9 = 162/432 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 160/432 < 162/432 or 10/27 < 18/48
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