### Evaluation of Mixed NumbersThis section aims to help you evaluate mixed numbers. Work through the following example to understand the process better.#### Problem Statement:Evaluate \( 2 \dfrac{1}{4} + \dfrac{5}{6} \).#### Multiple Choice Answers:- \( \boxed{2 \dfrac{3}{5}} \)- \( \dfrac{37}{12} \)- \( 3 \)### Steps to Solve1. **Convert the Mixed Number to an Improper Fraction:** First, convert \( 2 \dfrac{1}{4} \) to an improper fraction. \[ 2 \dfrac{1}{4} = \frac{2 \times 4 + 1}{4} = \frac{8 + 1}{4} = \frac{9}{4} \]2. **Find a Common Denominator:** The given fractions now are \( \frac{9}{4} \) and \( \frac{5}{6} \). To add these fractions, you need a common denominator. The least common multiple of 4 and 6 is 12. Convert the fractions: \[ \frac{9}{4} = \frac{9 \times 3}{4 \times 3} = \frac{27}{12} \] \[ \frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12} \]3. **Add the Fractions:** \[ \frac{27}{12} + \frac{10}{12} = \frac{37}{12} \]4. **Convert the Improper Fraction to a Mixed Number:** \[ \frac{37}{12} = 3 \dfrac{1}{12} \]### Conclusion:Converting \( 2 \dfrac{1}{4} + \dfrac{5}{6} \) results in \( 3 \dfrac{1}{12} \). The correct answer is not listed in the multiple-choice options provided. There is an apparent error in the choices given. The selected choice \( \boxed{2 \dfrac{3}{5}} \) is not the correct answer

Name: ### Evaluation of Mixed NumbersThis section aims to help you evaluate
Uploaded: 2024-03-20T06:38:44.000Z
Channel: Bartleby
Description: ### Evaluation of Mixed NumbersThis section aims to help you evaluate mixed numbers. Work through the following example to understand the process better.#### Problem Statement:Evaluate \( 2 \dfrac{1}{4} + \dfrac{5}{6} \).#### Multiple Choice Answers