Question
Consider the following fractions. \[ \frac{4}{9}, \frac{11}{18} \] Step 1 of 2 : Which fraction is larger?
Ask by Harper Savage. in the United States
Feb 04,2025
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Tutor-Verified Answer
Answer
\(\frac{11}{18}\) is larger than \(\frac{4}{9}\).
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The Deep Dive
To compare the fractions \(\frac{4}{9}\) and \(\frac{11}{18}\), we first want to have a common denominator. The least common multiple (LCM) of 9 and 18 is 18. Now, we express \(\frac{4}{9}\) with a denominator of 18: \[ \frac{4}{9} = \frac{4 \times 2}{9 \times 2} = \frac{8}{18}. \] Now we compare \(\frac{8}{18}\) and \(\frac{11}{18}\). Since \(11 > 8\), we can conclude that: \[ \frac{11}{18} \text{ is the larger fraction.} \]