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# What is the product in simplest form? \frac{3}{5} \times \frac{2}{3}=?
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Answer

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Step 1:
I'll solve this step by step, following the LaTeX formatting guidelines precisely:

Step 2:
: Identify the multiplication of fractions

We need to multiply $$\frac{3}{5}$$ and $$\frac{2}{3}

Step 3:
: Multiply the numerators

3 \times 2 = 6

Step 4:
: Multiply the denominators

5 \times 3 = 15

Step 5:
: Write the resulting fraction

\frac{3}{5} \times \frac{2}{3} = \frac{6}{15}

Step 6:
: Simplify the fraction

\frac{6 \div 3}{15 \div 3} = \frac{2}{5}
To simplify, we find the greatest common factor (GCF) of 6 and 15 The GCF is 3

Final Answer

\frac{2}{5}