Answer :
To solve the mathematical expression [tex]\(12 \frac{1}{4} + 11.14\)[/tex], we can follow a few straightforward steps.
1. Convert the Mixed Fraction to a Decimal:
- The mixed fraction [tex]\(12 \frac{1}{4}\)[/tex] consists of the whole number 12 and the fraction [tex]\(\frac{1}{4}\)[/tex].
- To convert the fraction [tex]\(\frac{1}{4}\)[/tex] to a decimal, divide 1 by 4:
[tex]\[ \frac{1}{4} = 0.25 \][/tex]
- Add this decimal to the whole number 12:
[tex]\[ 12 + 0.25 = 12.25 \][/tex]
- So, [tex]\(12 \frac{1}{4}\)[/tex] as a decimal is 12.25.
2. Add the Decimal Numbers:
- Now, add the decimal 12.25 to 11.14:
[tex]\[ 12.25 + 11.14 = 23.39 \][/tex]
3. Determine the Correct Answer:
- By performing the addition, we find the result to be 23.39.
- Now, we compare this result to the given options:
[tex]\[ \begin{array}{ll} \text{A} & \quad 1.11 \\ \text{B} & \quad 23.14 \frac{1}{4} \\ \text{C} & \quad 23.39 \\ \text{D} & \quad 23.93 \\ \text{E} & \quad \text{none of these} \end{array} \][/tex]
4. Choose the Correct Option:
- The option matching the result 23.39 is C.
Therefore, the correct answer is:
[tex]\[ \boxed{23.39} \][/tex]
1. Convert the Mixed Fraction to a Decimal:
- The mixed fraction [tex]\(12 \frac{1}{4}\)[/tex] consists of the whole number 12 and the fraction [tex]\(\frac{1}{4}\)[/tex].
- To convert the fraction [tex]\(\frac{1}{4}\)[/tex] to a decimal, divide 1 by 4:
[tex]\[ \frac{1}{4} = 0.25 \][/tex]
- Add this decimal to the whole number 12:
[tex]\[ 12 + 0.25 = 12.25 \][/tex]
- So, [tex]\(12 \frac{1}{4}\)[/tex] as a decimal is 12.25.
2. Add the Decimal Numbers:
- Now, add the decimal 12.25 to 11.14:
[tex]\[ 12.25 + 11.14 = 23.39 \][/tex]
3. Determine the Correct Answer:
- By performing the addition, we find the result to be 23.39.
- Now, we compare this result to the given options:
[tex]\[ \begin{array}{ll} \text{A} & \quad 1.11 \\ \text{B} & \quad 23.14 \frac{1}{4} \\ \text{C} & \quad 23.39 \\ \text{D} & \quad 23.93 \\ \text{E} & \quad \text{none of these} \end{array} \][/tex]
4. Choose the Correct Option:
- The option matching the result 23.39 is C.
Therefore, the correct answer is:
[tex]\[ \boxed{23.39} \][/tex]
