What is mixednumber 32/6 ?

The solution to mixednumber 32/6 is 5 1/3

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Popular >

Convert to a Mixed Number 32/6

Solution

mixed number

\frac{32}{6}

Solution

5 \frac{1}{3}

Solution steps

\frac{32}{6}

Reduce the fraction

\frac{32}{6} : \frac{16}{3}

\frac{32}{6}

Find a common factor of

32

and

6

in order to cancel it out

Greatest Common Divisor of

32, 6 : 2

32, 6

Greatest Common Divisor (GCD)

Prime factorization of

32 : 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2

32

32

divides by

232 = 16 \cdot 2

= 2 \cdot 16

16

divides by

216 = 8 \cdot 2

= 2 \cdot 2 \cdot 8

8

divides by

28 = 4 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2

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

32, 6

are

= 2

Factor out

2

from the numerator and the denominator

32 = 2 \cdot 16, 6 = 2 \cdot 3

= \frac{2 \cdot 16}{2 \cdot 3}

Cancel the common factor:

2

= \frac{16}{3}

\frac{16}{3} = 5

Remainder

1

\frac{16}{3}

Write the problem in long division format

3 \overline{∣ 16}

Divide

16

3

to get

5

Divide

16

3

to get

5

5 3 \overline{∣ 16}

Multiply the quotient digit

(5)

by the divisor

3

5 3 \overline{∣ 16} \underline{15}

Subtract

15

from

16

5 3 \overline{∣ 16} \underline{15} 1

5 3 \overline{∣ 16} \underline{15} 1

The solution for Long Division of

\frac{16}{3}

5

with remainder of

1

5 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{16}{3} = 5 \frac{1}{3}

5 \frac{1}{3}

Popular Examples

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23 - (17 - 3 \cdot 4)^{2} + 6

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\frac{63}{18}

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40, 60, 100

Evaluate 12/1.5 long division

\frac{12}{1.5}

Convert to a Simplified Fraction 4.9 convert to fraction

4.9

Frequently Asked Questions (FAQ)

What is mixednumber 32/6 ?
The solution to mixednumber 32/6 is 5 1/3