What is mixednumber 52/6 ?

The solution to mixednumber 52/6 is 8 2/3

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Popular >

Convert to a Mixed Number 52/6

Solution

mixed number

\frac{52}{6}

Solution

8 \frac{2}{3}

Solution steps

\frac{52}{6}

Reduce the fraction

\frac{52}{6} : \frac{26}{3}

\frac{52}{6}

Find a common factor of

52

and

6

in order to cancel it out

Greatest Common Divisor of

52, 6 : 2

52, 6

Greatest Common Divisor (GCD)

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

Prime factorization of

6 : 2 \cdot 3

6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3

The prime factors common to

52, 6

are

= 2

Factor out

2

from the numerator and the denominator

52 = 2 \cdot 26, 6 = 2 \cdot 3

= \frac{2 \cdot 26}{2 \cdot 3}

Cancel the common factor:

2

= \frac{26}{3}

\frac{26}{3} = 8

Remainder

2

\frac{26}{3}

Write the problem in long division format

3 \overline{∣ 26}

Divide

26

3

to get

8

Divide

26

3

to get

8

8 3 \overline{∣ 26}

Multiply the quotient digit

(8)

by the divisor

3

8 3 \overline{∣ 26} \underline{24}

Subtract

24

from

26

8 3 \overline{∣ 26} \underline{24} 2

8 3 \overline{∣ 26} \underline{24} 2

The solution for Long Division of

\frac{26}{3}

8

with remainder of

2

8 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{26}{3} = 8 \frac{2}{3}

8 \frac{2}{3}

Popular Examples

78/2 long division

\frac{78}{2}

34/5 long division

\frac{34}{5}

Convert to a Simplified Fraction 24.5 decimal to fraction

24.5

Convert to a Simplified Fraction 1.15 decimal to fraction

1.15

Convert to a Decimal 7/2 long division

\frac{7}{2}

Frequently Asked Questions (FAQ)

What is mixednumber 52/6 ?
The solution to mixednumber 52/6 is 8 2/3