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Imagine Math Pre-Quiz Guided Practice Post-Quiz Finish Visualizing Products with Fractions - Item 32294 Question 4 of 7 You can think about the word 'of' when you multiply. Use the drop-down menus to complete the equations and statement below. CLEAR CHECK \( \frac{3}{4} \) of \( 16= \) \( \square \) \[ \frac{3}{4} \times 16= \] \( \square \) 16 multiplied by \( \frac{3}{4} \) is \( \square \) 16.

Ask by Deleon Washington. in the United States
Jan 29,2025

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Answer

\( \frac{3}{4} \) of \( 16 = 12 \) \( \frac{3}{4} \times 16 = 12 \) 16 multiplied by \( \frac{3}{4} \) is 12.

Solution

To solve the problem, we need to calculate \( \frac{3}{4} \) of \( 16 \) and express it in different forms. Let's break it down step by step. 1. **Calculate \( \frac{3}{4} \) of \( 16 \)**: - This can be done by multiplying \( 16 \) by \( \frac{3}{4} \). \[ \frac{3}{4} \times 16 \] 2. **Perform the multiplication**: - To multiply a fraction by a whole number, you can multiply the numerator by the whole number and keep the denominator the same. \[ \frac{3 \times 16}{4} \] 3. **Calculate the numerator**: - \( 3 \times 16 = 48 \) 4. **Now divide by the denominator**: - \( \frac{48}{4} = 12 \) So, we have: \[ \frac{3}{4} \times 16 = 12 \] 5. **Fill in the blanks**: - \( \frac{3}{4} \) of \( 16 = 12 \) - \( \frac{3}{4} \times 16 = 12 \) 6. **Express the statement**: - "16 multiplied by \( \frac{3}{4} \) is \( 12 \) 16." Now, let's summarize the answers: - \( \frac{3}{4} \) of \( 16 = 12 \) - \( \frac{3}{4} \times 16 = 12 \) - 16 multiplied by \( \frac{3}{4} \) is \( 12 \) 16. Thus, the completed statements are: - \( \square = 12 \) - \( \square = 12 \) - The final statement is: "16 multiplied by \( \frac{3}{4} \) is \( 12 \) 16."

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Beyond the Answer

Did you know that fractions have been used for thousands of years? Ancient Egyptians were some of the first to use fractions as early as 2000 BC! They relied heavily on these concepts for trade, astronomy, and even engineering. This historical context shows just how fundamental fractions are in mathematics and everyday life! When working with fractions and multiplication, one common mistake is forgetting to simplify the fraction before multiplying. Always check if there's a way to simplify the fraction and the whole number involved first. This can make your calculations a lot easier and less prone to errors, ensuring that you arrive at the right answer more efficiently!

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