Solve: (5/4) × (1/2) × (3/6) Fraction Multiplication Problem

The problem requires multiplying the fractions $\frac{5}{4}$, $\frac{1}{2}$, and $\frac{3}{6}$.

Step 1: Multiply the numerators.

We have: $5 \times 1 \times 3 = 15$.

Step 2: Multiply the denominators.

We have: $4 \times 2 \times 6 = 48$.

Step 3: Form the fraction from results of the two steps above.

The product of these fractions is $\frac{15}{48}$.

Step 4: Simplify the fraction.

To simplify $\frac{15}{48}$, we need to find the greatest common divisor (GCD) of 15 and 48. The GCD is 3.

Divide both the numerator and the denominator by their GCD:

$\frac{15 \div 3}{48 \div 3} = \frac{5}{16}$.

Thus, the simplified product of the fractions is $\frac{5}{16}$.

We can compare it against the given answer choices to confirm:

• Choice 1: $\frac{3}{16}$ - incorrect.
• Choice 2: $\frac{5}{16}$ - correct.
• Choice 3: $\frac{15}{48}$ - correct but not simplified.
• Choice 4: $\frac{15}{16}$ - incorrect.

The correct answer choice is Choice 2, $\frac{5}{16}$.