Questions: Find the product. 21/5 * 10/7 = (Type an integer or a simplified fraction.)

$Find the product. 21/5 * 10/7 = (Type an integer or a simplified fraction.)$

Transcript text: Find the product. \[ \frac{21}{5} \cdot \frac{10}{7} \] $\frac{21}{5} \cdot \frac{10}{7}=$ $\square$ (Type an integer or a simplified fraction.)

Solution

Solution Steps

Step 1: Multiply the numerators

Multiply the numerators of the fractions: \[ 21 \cdot 10 = 210 \]

Step 2: Multiply the denominators

Multiply the denominators of the fractions: \[ 5 \cdot 7 = 35 \]

Step 3: Simplify the fraction

Simplify the fraction $\frac{210}{35}$ by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 35: \[ \frac{210 \div 35}{35 \div 35} = \frac{6}{1} = 6 \]

The final result is: \[ \boxed{6} \]