Questions: 6/52 = 2 * 3 / (2 * 2 * 13) = 1 / (2 * 2 * 3) = □

Transcript text: \[ \begin{aligned} \frac{6}{52} & =\frac{2 \cdot 3}{2 \cdot 2 \cdot 13} \\ & =\frac{1}{2 \cdot 2 \cdot 3} \\ & =\square \end{aligned} \]

Solution

Solution Steps

To simplify the given fraction, we need to reduce it to its simplest form by canceling out common factors in the numerator and the denominator.

Step 1: Identify the Given Fraction

The given fraction is: \[ \frac{6}{52} \]

Step 2: Simplify the Fraction

To simplify \(\frac{6}{52}\), we find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 6 and 52 is 2.

Step 3: Divide the Numerator and Denominator by the GCD

Divide both the numerator and the denominator by their GCD: \[ \frac{6 \div 2}{52 \div 2} = \frac{3}{26} \]

Final Answer

The simplified form of the fraction is: \[ \boxed{\frac{3}{26}} \]

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