https://file.aiquickdraw.com/mathbot/file/1726151252153qg5rf2ba.jpg

To solve the division problem in the image, \(6 \div \frac{9}{5}\), we need to multiply 6 by the reciprocal of the fraction \(\frac{9}{5}\):

\[
6 \div \frac{9}{5} = 6 \times \frac{5}{9}
\]

Now, let's perform the multiplication:

\[
6 \times \frac{5}{9} = \frac{6 \times 5}{9} = \frac{30}{9}
\]

Next, we simplify \(\frac{30}{9}\) by dividing the numerator and the denominator by their greatest common divisor, which is 3:

\[
\frac{30}{9} = \frac{30 \div 3}{9 \div 3} = \frac{10}{3}
\]

The simplified form of \(6 \div \frac{9}{5}\) is \(\frac{10}{3}\).

Would you like more details on this calculation or any related topic? Here are some further questions you might consider:

1. How do you find the greatest common divisor of two numbers?
2. Can you explain the properties of division that apply when dividing by a fraction?
3. What would be the decimal form of the answer \(\frac{10}{3}\)?
4. How would you convert \(\frac{10}{3}\) into a mixed number?
5. What are the steps to divide two fractions?

**Tip:** Always remember when dividing by a fraction, you multiply by its reciprocal (invert the fraction and multiply).

Divide. 6 ÷ (-9/5). Submit your answer in simplified form.

Learn how to solve and simplify the division of fractions problem: 6 ÷ (-9/5). This tutorial covers the arithmetic concepts of division, multiplying by the reciprocal, and simplification, suitable for students in Grades 6-8.

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