Solve Fraction Multiplication: 2/4 × 4/5 Step-by-Step

To solve the problem of multiplying the fractions $\frac{2}{4}$ and $\frac{4}{5}$, follow these steps:

• Step 1: Multiply the numerators. We have the numerators $2$ and $4$, so we calculate $2 \times 4 = 8$.
• Step 2: Multiply the denominators. We have the denominators $4$ and $5$, so we calculate $4 \times 5 = 20$.
• Step 3: Form the new fraction using the results from Steps 1 and 2. This gives us $\frac{8}{20}$.
• Step 4: Simplify the fraction $\frac{8}{20}$. The greatest common divisor (GCD) of $8$ and $20$ is $4$.
• Step 5: Divide both the numerator and the denominator by their GCD, $4$: $\frac{8 \div 4}{20 \div 4} = \frac{2}{5}$.

Therefore, the simplified product of $\frac{2}{4}$ and $\frac{4}{5}$ is $\frac{2}{5}$.