$3.225 + (\frac{2}{3} \times 1.25) =$
Answer (2)
Calculate the value inside the parentheses: 3 2 × 1.25 ≈ 0.8333 .
Add the result to 3.225: 3.225 + 0.8333 = 4.0583 .
Round the result to two decimal places: 4.0583 ≈ 4.06 .
The correct answer is 4.06 .
Explanation
Understanding the Problem We are given the expression 3.225 + ( 3 2 × 1.25 ) and asked to evaluate it and choose the correct answer from the options 4.65, 5.13, and 4.06.
Calculating the Parentheses First, we need to calculate the value of 3 2 × 1.25 .
Simplifying the Fraction 3 2 × 1.25 = 3 2 × 4 5 = 12 10 = 6 5 ≈ 0.8333
Adding the Numbers Now, we add the result to 3.225: 3.225 + 0.8333 = 4.0583
Choosing the Correct Answer Comparing the final result with the given options (4.65, 5.13, 4.06), we see that 4.0583 is closest to 4.06.
Examples
In everyday life, you might use similar calculations when splitting a bill with friends after applying a discount. For example, if the total bill is 3.225 an d t h er e ′ s a d i sco u n t o f \frac{2}{3}$ applied to an item costing $1.25, you'd calculate the final amount each person owes using the same arithmetic operations.
After evaluating the expression 3.225 + ( 3 2 × 1.25 ) , the answer comes out to be approximately 4.06 . This result is obtained by first calculating the multiplication inside the parentheses, then adding that result to 3.225 , and finally rounding to two decimal places.
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