Questions: Find the product. 1. 6/8 × 3/12 =

Transcript text: Find the product. 1. $\frac{6}{8} \times \frac{3}{12}=$

Solution

Solution Steps

To find the product of two fractions, multiply the numerators together to get the new numerator and multiply the denominators together to get the new denominator. Then, simplify the resulting fraction if possible.

Step 1: Multiply the Numerators

To find the product of the fractions $\frac{6}{8}$ and $\frac{3}{12}$, we first multiply the numerators: \[ 6 \times 3 = 18 \]

Step 2: Multiply the Denominators

Next, we multiply the denominators: \[ 8 \times 12 = 96 \]

Step 3: Form the New Fraction

The product of the fractions is: \[ \frac{18}{96} \]

Step 4: Simplify the Fraction

To simplify $\frac{18}{96}$, we find the greatest common divisor (GCD) of 18 and 96, which is 6. We then divide both the numerator and the denominator by their GCD: \[ \frac{18 \div 6}{96 \div 6} = \frac{3}{16} \]

Final Answer

$\boxed{\frac{3}{16}}$

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