Questions: Perform the indicated operation. Then use a calculator 7/8 · 3/5 7/8 · 3/5 = (Type an integer or a simplified fraction.)

$Perform the indicated operation. Then use a calculator 7/8 · 3/5 7/8 · 3/5 = (Type an integer or a simplified fraction.)$

Transcript text: Perform the indicated operation. Then use a calculator \[ \frac{7}{8} \cdot \frac{3}{5} \] $\frac{7}{8} \cdot \frac{3}{5}=$ $\square$ (Type an integer or a simplified fraction.)

Solution

Solution Steps

To solve the given problem, we need to multiply two fractions. The multiplication of fractions involves multiplying the numerators together and the denominators together. After performing the multiplication, we simplify the resulting fraction if possible.

Step 1: Multiply the Numerators and Denominators

To multiply the fractions $ \frac{7}{8} $ and $ \frac{3}{5} $, we first multiply the numerators and the denominators: \[ \text{Numerator: } 7 \times 3 = 21 \] \[ \text{Denominator: } 8 \times 5 = 40 \]

Step 2: Form the Resulting Fraction

The resulting fraction from the multiplication is: \[ \frac{21}{40} \]

Step 3: Simplify the Fraction

The fraction $ \frac{21}{40} $ is already in its simplest form, as 21 and 40 have no common factors other than 1.