Consider the following fractions. \[ \frac{7}{15}, \frac{11}{21} \] Step 1 of 2 : Which fraction is larger?
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To compare the two fractions \( \frac{7}{15} \) and \( \frac{11}{21} \), we can find a common denominator or convert them to decimal form. Finding a common denominator, we get 105. Converting both fractions: \[ \frac{7}{15} = \frac{7 \times 7}{15 \times 7} = \frac{49}{105} \] \[ \frac{11}{21} = \frac{11 \times 5}{21 \times 5} = \frac{55}{105} \] Now, since \( 55 > 49 \), we can conclude that \( \frac{11}{21} \) is larger. Therefore, \( \frac{11}{21} \) is the larger fraction.