Answer:
Final answer:
To simplify the expression 3 1/4 * 3^2, first convert 3 1/4 to an improper fraction, yielding 13/4. Then calculate 3^2 to get 9. Multiply 13/4 by 9 to get 117/4 which converts back to 29 1/4.
Explanation:
The problem presents the mixed number 3 1/4 and the square of 3, which is 3^2, and asks us to multiply them. Let's break it down step-by-step:
- Firstly, convert the mixed number 3 1/4 to an improper fraction. It is your choice whether to convert it to a decimal or a fraction, but in this case, we convert it to an improper fraction because we can visualize the entire process. You multiply the denominator 4 by the whole number 3, and then add the numerator 1. It simplifies to 13/4.
- Next, simplify 3^2 which means 3 times 3. That equates to 9.
- So now you have to multiply 13/4 (which is 3 1/4 as an improper fraction) and 9. Therefore, the expression becomes 13/4 * 9. Multiply the fraction 13/4 by 9 to equal 117/4.
- Finally, convert 117/4 back into a mixed number. You divide 117 by 4 which gives you 29 and a remainder of 1. So, 117/4 or 29 1/4 is the final answer.
Learn more about Multiplying Mixed Number and Exponent here:
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