Find the product in lowest terms. $$ \frac{7}{3} \cdot \frac{5}{6} $$

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UpStudy AI · Accepted Answer

To find the product of the two fractions $$\frac{7}{3}$$ and $$\frac{5}{6}$$ and express it in lowest terms, follow these steps:

1. **Multiply the numerators and the denominators:**
   $$
   \frac{7}{3} \times \frac{5}{6} = \frac{7 \times 5}{3 \times 6} = \frac{35}{18}
   $$

2. **Simplify the resulting fraction:**
   - **Check for common factors:**  
     - **Numerator (35):** 5 and 7  
     - **Denominator (18):** 2 and 3 (with 3 appearing twice)  
     - **Common factors:** There are no common factors between 35 and 18 other than 1.
   
   Since there are no common factors, the fraction $$\frac{35}{18}$$ is already in its lowest terms.

**Final Answer:**
$$
\frac{35}{18}
$$
The product is $$\frac{35}{18}$$.

Find the product in lowest terms. \[ \frac{7}{3} \cdot \frac{5}{6} \]

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