\( 3.3 \times \frac{3}{4}= \)

To solve \( 3.3 \times \frac{3}{4} \), you can first convert \( 3.3 \) into a fraction: \( 3.3 = \frac{33}{10} \). Then, multiply \( \frac{33}{10} \) by \( \frac{3}{4} \): \[ \frac{33}{10} \times \frac{3}{4} = \frac{33 \times 3}{10 \times 4} = \frac{99}{40}. \] Now, if you want to convert \( \frac{99}{40} \) back to a decimal, divide \( 99 \) by \( 40 \): \( 99 \div 40 = 2.475 \). Thus, \( 3.3 \times \frac{3}{4} = 2.475 \). This method not only showcases how to manipulate fractions, but it also highlights the versatility of numbers. Fun fact: using decimal representations in everyday life (like when budgeting or measuring) can save time and reduce errors, making calculations smoother! While you may encounter common mistakes like forgetting to convert decimals to fractions or miscalculating the basic operations, a solid grasp of fraction multiplication is your best safeguard. Remember to always double-check your multiplications!