$5.14 \div 5-12 \frac{1}{2}
Answer (2)
Convert the mixed number to a decimal: 12 2 1 = 12.5 .
Perform the division: 5.14 ÷ 5 = 1.028 .
Subtract the result: 1.028 − 12.5 = − 11.472 .
The final answer is − 11.472 .
Explanation
Understanding the Expression We are asked to evaluate the expression $5.14
\div 5-12 \frac{1}{2}$. To do this, we need to follow the order of operations, which is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
Converting Mixed Number to Decimal First, we need to convert the mixed number 12 2 1 into a decimal or an improper fraction. Let's convert it to a decimal: 12 2 1 = 12 + 2 1 = 12 + 0.5 = 12.5
Performing the Division Now, we perform the division: 5.14 ÷ 5 = 1.028
Performing the Subtraction Finally, we subtract: 1.028 − 12.5 = − 11.472
Final Answer Therefore, the final result is − 11.472 .
Examples
Understanding how to evaluate arithmetic expressions is crucial in many real-life situations, such as calculating expenses or managing budgets. For instance, if you earned $5.14 for 5 hours of work and then spent $12.50, this calculation helps you determine your net financial outcome. This type of calculation is fundamental in personal finance, business, and many other fields where accurate numerical evaluations are necessary.
To solve the expression 5.14 ÷ 5 − 12 2 1 , we first convert the mixed number to a decimal as 12.5 , then divide 5.14 by 5 resulting in 1.028 , and finally subtract 12.5 from 1.028 , yielding a final result of − 11.472 .
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