Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
\[
\frac{21}{10}
\]
Solution
1. Write the division as multiplication by the reciprocal:
\[
\frac{3}{5} \div \frac{2}{7} = \frac{3}{5} \times \frac{7}{2}
\]
2. Multiply the numerators and the denominators:
\[
\frac{3 \times 7}{5 \times 2} = \frac{21}{10}
\]
3. The result of the division is:
\[
\frac{21}{10}
\]
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Simplify this solution Mind Expander
To divide fractions, you can multiply the first fraction by the reciprocal of the second one. So, \( \frac{3}{5} \div \frac{2}{7} \) becomes \( \frac{3}{5} \times \frac{7}{2} \). Now, multiply the numerators together (3 x 7 = 21) and the denominators (5 x 2 = 10), giving you \( \frac{21}{10} \), or 2.1 in decimal form. Did you know that dividing fractions is like flipping your second fraction upside down? This nifty trick not only simplifies the process but also helps avoid any confusion. Next time you’re faced with a fraction division, just remember: Flip it, multiply it, and simplify if needed for the win!
