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Popular Pre Algebra >

Convert to a Mixed Number 2.667

  • Pre Algebra
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Solution

mixednumber

Solution

21000667​
+1
Decimal
2.667
Solution steps
2.667
Rewrite as=2+0.667
Convert 0.667 to a fraction:1000667​
0.667
Multiply and divide by 10 for every number after the decimal point.
There are 3 digits to the right of the decimal point, therefore multiply and divide by 1000
=10000.667⋅1000​
=1000667​
Reduce the fraction 1000667​:1000667​
1000667​
Find a common factor of 667 and 1000 in order to cancel it out
Greatest Common Divisor of 667,1000:1
667,1000
Greatest Common Divisor (GCD)
Prime factorization of 667:23⋅29
667
667divides by 23667=29⋅23=23⋅29
23,29 are all prime numbers, therefore no further factorization is possible=23⋅29
Prime factorization of 1000:2⋅2⋅2⋅5⋅5⋅5
1000
1000divides by 21000=500⋅2=2⋅500
500divides by 2500=250⋅2=2⋅2⋅250
250divides by 2250=125⋅2=2⋅2⋅2⋅125
125divides by 5125=25⋅5=2⋅2⋅2⋅5⋅25
25divides by 525=5⋅5=2⋅2⋅2⋅5⋅5⋅5
2,5 are all prime numbers, therefore no further factorization is possible=2⋅2⋅2⋅5⋅5⋅5
No common factor for 667 and 1000 therefore the GCD is 1 =1
The GCD is 1, therefore the fraction cannot be simplified=1000667​
=1000667​
=2+1000667​
=21000667​

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Frequently Asked Questions (FAQ)

  • What is mixednumber 2.667 ?

    The solution to mixednumber 2.667 is 2 667/1000

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