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Popular Pre Algebra >

Convert to a Mixed Number 26/8

  • Pre Algebra
  • Algebra
  • Pre Calculus
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Solution

mixednumber

Solution

341​
+1
Decimal
3.25
Solution steps
826​
Reduce the fraction 826​:413​
826​
Find a common factor of 26 and 8 in order to cancel it out
Greatest Common Divisor of 26,8:2
26,8
Greatest Common Divisor (GCD)
Prime factorization of 26:2⋅13
26
26divides by 226=13⋅2=2⋅13
2,13 are all prime numbers, therefore no further factorization is possible=2⋅13
Prime factorization of 8:2⋅2⋅2
8
8divides by 28=4⋅2=2⋅4
4divides by 24=2⋅2=2⋅2⋅2
The prime factors common to 26,8 are =2
Factor out 2 from the numerator and the denominator
26=2⋅13,8=2⋅4
=2⋅42⋅13​
Cancel the common factor: 2=413​
413​=3Remainder1
413​
Write the problem in long division format4∣13​​
Divide 13by 4to get 3
Divide 13by 4to get 334∣13​​
Multiply the quotient digit (3)by the divisor 434∣13​12​​
Subtract 12from 1334∣13​12​1​
34∣13​12​1​
The solution for Long Division of 413​is 3with remainder of 13Remainder1
Convert to mixed number: QuotientDivisorRemainder​413​=341​
341​

Popular Examples

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Frequently Asked Questions (FAQ)

  • What is mixednumber 26/8 ?

    The solution to mixednumber 26/8 is 3 1/4

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