Using the 'keep, change, flip' method, what is the result of $rac{3}{5}$ divided by $rac{2}{7}$?

Steps to Solve

1. Keep the First Fraction

Start by keeping the first fraction as it is, which is $\frac{3}{5}$.

2. Change the Operation

Next, change the division sign to multiplication. This means we will now multiply instead of divide.

3. Flip the Second Fraction

Now, flip the second fraction $\frac{2}{7}$. Flipping means to swap the numerator and the denominator, resulting in $\frac{7}{2}$.

4. Setup the New Expression

Now we can rewrite the expression as follows:

$$ \frac{3}{5} \times \frac{7}{2} $$

5. Multiply the Numerators and Denominators

Multiply the two numerators together and the two denominators together:

• Numerators: $3 \times 7 = 21$
• Denominators: $5 \times 2 = 10$

So we have:

$$ \frac{21}{10} $$

6. Final Simplification

The fraction $\frac{21}{10}$ is already in its simplest form, but we can express it as a mixed number:

$$ 2 \frac{1}{10} $$