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Popular Pre Algebra >

Convert to a Mixed Number 22/8

  • Pre Algebra
  • Algebra
  • Pre Calculus
  • Calculus
  • Functions
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Solution

mixednumber

Solution

243​
+1
Decimal
2.75
Solution steps
822​
Reduce the fraction 822​:411​
822​
Find a common factor of 22 and 8 in order to cancel it out
Greatest Common Divisor of 22,8:2
22,8
Greatest Common Divisor (GCD)
Prime factorization of 22:2⋅11
22
22divides by 222=11⋅2=2⋅11
2,11 are all prime numbers, therefore no further factorization is possible=2⋅11
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 22,8 are =2
Factor out 2 from the numerator and the denominator
22=2⋅11,8=2⋅4
=2⋅42⋅11​
Cancel the common factor: 2=411​
411​=2Remainder3
411​
Write the problem in long division format4∣11​​
Divide 11by 4to get 2
Divide 11by 4to get 224∣11​​
Multiply the quotient digit (2)by the divisor 424∣11​8​​
Subtract 8from 1124∣11​8​3​
24∣11​8​3​
The solution for Long Division of 411​is 2with remainder of 32Remainder3
Convert to mixed number: QuotientDivisorRemainder​411​=243​
243​

Popular Examples

Convert to a Simplified Fraction 0.8125Convert to a Percentage 15/20Find the GCF 24 40Find the GCF 18 , 27 , 36Evaluate 56/2

Frequently Asked Questions (FAQ)

  • What is mixednumber 22/8 ?

    The solution to mixednumber 22/8 is 2 3/4

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