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

6/52 = 2 * 3 / (2 * 2 * 13) = 1 / (2 * 2 * 3) = □
Transcript text: \[ \begin{aligned} \frac{6}{52} & =\frac{2 \cdot 3}{2 \cdot 2 \cdot 13} \\ & =\frac{1}{2 \cdot 2 \cdot 3} \\ & =\square \end{aligned} \]
failed

Solution

failed
failed

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: \[ \boxed{\frac{3}{26}} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
(a^3 - 7a^2 - 64) / (a - 8) =
failedAnswered
When interviewing an individual over 60 for a job, it is legal for the interviewer to inquire about the person's medical history because age is not a disability and thus not protected by the ADA.
failedAnswered
Find an equation of the line L. L is perpendicular to y=-2x.
failedAnswered
A giant wheel has a radius of 14 ft. To the nearest tenth of a foot, what distance does the giant wheel cover when it rotates through an angle of 96°?
failedAnswered
A nurse is caring for a client who has an increase in cardiac output. Which of the following findings should the nurse expect? Increase in blood pressure Decrease in respiratory rate Decrease in heart rate Decrease in stroke volume