What is reducefraction 4/52 ?

The solution to reducefraction 4/52 is 1/13

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reducefraction 4/52

reduce fraction

\frac{4}{52}

\frac{1}{13}

Solution steps

\frac{4}{52}

Find a common factor of

4

and

52

in order to cancel it out

Greatest Common Divisor of

4, 52 : 4

4, 52

Greatest Common Divisor (GCD)

Prime factorization of

4 : 2 \cdot 2

4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2

Prime factorization of

52 : 2 \cdot 2 \cdot 13

52

52

divides by

252 = 26 \cdot 2

= 2 \cdot 26

26

divides by

226 = 13 \cdot 2

= 2 \cdot 2 \cdot 13

2, 13

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 13

The prime factors common to

4, 52

are

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

Factor out

4

from the numerator and the denominator

4 = 4 \cdot 1, 52 = 4 \cdot 13

= \frac{4 \cdot 1}{4 \cdot 13}

Cancel the common factor:

4

= \frac{1}{13}

\frac{5}{2}

\frac{256}{2}

x^{2} - x - 6, x^{2} + 5 x + 6

2 \cdot 3^{2}

\frac{8}{12}