Solve Fraction Multiplication: 6/8 × 5/6 Step-by-Step

To solve this problem, we'll multiply the fractions and simplify the result:

• Step 1: Multiply the numerators together: $6 \times 5 = 30$.
• Step 2: Multiply the denominators together: $8 \times 6 = 48$.
• Step 3: Write the result as a single fraction: $\frac{30}{48}$.
• Step 4: Simplify the fraction by finding the GCD of 30 and 48, which is 6.
• Step 5: Divide both the numerator and the denominator by their GCD:

$\frac{30 \div 6}{48 \div 6} = \frac{5}{8}$

Therefore, the solution to the problem is $\frac{5}{8}$.