What is mixednumber 56/6 ?

The solution to mixednumber 56/6 is 9 1/3

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Popular >

Convert to a Mixed Number 56/6

Solution

mixed number

\frac{56}{6}

Solution

9 \frac{1}{3}

Solution steps

\frac{56}{6}

Reduce the fraction

\frac{56}{6} : \frac{28}{3}

\frac{56}{6}

Find a common factor of

56

and

6

in order to cancel it out

Greatest Common Divisor of

56, 6 : 2

56, 6

Greatest Common Divisor (GCD)

Prime factorization of

56 : 2 \cdot 2 \cdot 2 \cdot 7

56

56

divides by

256 = 28 \cdot 2

= 2 \cdot 28

28

divides by

228 = 14 \cdot 2

= 2 \cdot 2 \cdot 14

14

divides by

214 = 7 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 7

2, 7

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 2 \cdot 7

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

56, 6

are

= 2

Factor out

2

from the numerator and the denominator

56 = 2 \cdot 28, 6 = 2 \cdot 3

= \frac{2 \cdot 28}{2 \cdot 3}

Cancel the common factor:

2

= \frac{28}{3}

\frac{28}{3} = 9

Remainder

1

\frac{28}{3}

Write the problem in long division format

3 \overline{∣ 28}

Divide

28

3

to get

9

Divide

28

3

to get

9

9 3 \overline{∣ 28}

Multiply the quotient digit

(9)

by the divisor

3

9 3 \overline{∣ 28} \underline{27}

Subtract

27

from

28

9 3 \overline{∣ 28} \underline{27} 1

9 3 \overline{∣ 28} \underline{27} 1

The solution for Long Division of

\frac{28}{3}

9

with remainder of

1

9 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{28}{3} = 9 \frac{1}{3}

9 \frac{1}{3}

Popular Examples

Round to the Nearest Hundredth 37.68

ro u n d t o t h e n e a res t h u n d re d t h 37.68

Divide Using Long Division 55/6 long division

\frac{55}{6}

Evaluate 64÷18 long division

\frac{64}{18}

Evaluate 180/88 long division

\frac{180}{88}

Convert to a Simplified Fraction 10.6 convert to fraction

10.6

Frequently Asked Questions (FAQ)

What is mixednumber 56/6 ?
The solution to mixednumber 56/6 is 9 1/3