Find the product
`5/6xx3/7`

Answer

To find the product of the fractions \( \frac{5}{6} \) and \( \frac{3}{7} \), we can follow these steps:

### Step 1: Write the fractions
We start with the two fractions:
\[ \frac{5}{6} \text{ and } \frac{3}{7} \]

### Step 2: Multiply the numerators
Next, we multiply the numerators (the top numbers) of the fractions:
\[ 5 \times 3 = 15 \]

### Step 3: Multiply the denominators
Now, we multiply the denominators (the bottom numbers) of the fractions:
\[ 6 \times 7 = 42 \]

### Step 4: Write the product as a fraction
Now we can write the product of the two fractions as:
\[ \frac{15}{42} \]

### Step 5: Simplify the fraction
To simplify \( \frac{15}{42} \), we need to find the greatest common divisor (GCD) of 15 and 42. The GCD is 3. Now we divide both the numerator and the denominator by their GCD:
\[ \frac{15 \div 3}{42 \div 3} = \frac{5}{14} \]

### Final Answer
Thus, the product of \( \frac{5}{6} \) and \( \frac{3}{7} \) is:
\[ \frac{5}{14} \]

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