Date: \begin{tabular}{l} Directions: Find \ \hline 1. $$ \frac{3}{7} \cdot \frac{5}{6} $$ \ \hline\end{tabular}

Question

UpStudy AI · Accepted Answer

To solve the multiplication of two fractions:

$$
\frac{3}{7} \times \frac{5}{6}
$$

**Step 1: Multiply the Numerators**

Multiply the top numbers (numerators) of the fractions:

$$
3 \times 5 = 15
$$

**Step 2: Multiply the Denominators**

Multiply the bottom numbers (denominators) of the fractions:

$$
7 \times 6 = 42
$$

**Step 3: Write the New Fraction**

Combine the results from Step 1 and Step 2 to form the new fraction:

$$
\frac{15}{42}
$$

**Step 4: Simplify the Fraction**

Find the greatest common divisor (GCD) of 15 and 42 to simplify the fraction. The GCD of 15 and 42 is 3.

Divide both the numerator and the denominator by 3:

$$
\frac{15 \div 3}{42 \div 3} = \frac{5}{14}
$$

**Final Answer:**

$$
\frac{3}{7} \times \frac{5}{6} = \frac{5}{14}
$$
$$ \frac{3}{7} \times \frac{5}{6} = \frac{5}{14} $$

Date: \begin{tabular}{l} Directions: Find \\ \hline 1. \( \frac{3}{7} \cdot \frac{5}{6} \) \\ \hline\end{tabular}