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Popular Pre Algebra >

Convert to a Mixed Number 56/6

  • Pre Algebra
  • Algebra
  • Pre Calculus
  • Calculus
  • Functions
  • Linear Algebra
  • Trigonometry
  • Statistics
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Solution

mixednumber

Solution

931​
+1
Decimal
9.33333…
Solution steps
656​
Reduce the fraction 656​:328​
656​
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⋅2⋅2⋅7
56
56divides by 256=28⋅2=2⋅28
28divides by 228=14⋅2=2⋅2⋅14
14divides by 214=7⋅2=2⋅2⋅2⋅7
2,7 are all prime numbers, therefore no further factorization is possible=2⋅2⋅2⋅7
Prime factorization of 6:2⋅3
6
6divides by 26=3⋅2=2⋅3
2,3 are all prime numbers, therefore no further factorization is possible=2⋅3
The prime factors common to 56,6 are =2
Factor out 2 from the numerator and the denominator
56=2⋅28,6=2⋅3
=2⋅32⋅28​
Cancel the common factor: 2=328​
328​=9Remainder1
328​
Write the problem in long division format3∣28​​
Divide 28by 3to get 9
Divide 28by 3to get 993∣28​​
Multiply the quotient digit (9)by the divisor 393∣28​27​​
Subtract 27from 2893∣28​27​1​
93∣28​27​1​
The solution for Long Division of 328​is 9with remainder of 19Remainder1
Convert to mixed number: QuotientDivisorRemainder​328​=931​
931​

Popular Examples

Round to the Nearest Hundredth 37.68Divide Using Long Division 55/6Evaluate 64÷18Evaluate 180/88Convert to a Simplified Fraction 10.6

Frequently Asked Questions (FAQ)

  • What is mixednumber 56/6 ?

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

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