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Popular Pre Algebra >

Convert to a Simplified Fraction 0.857

  • Pre Algebra
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Solution

tofraction

Solution

1000857​
+1
Decimal
0.857
Solution steps
0.857
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
=10000.857⋅1000​
=1000857​
Reduce the fraction 1000857​:1000857​
1000857​
Find a common factor of 857 and 1000 in order to cancel it out
Greatest Common Divisor of 857,1000:1
857,1000
Greatest Common Divisor (GCD)
Prime factorization of 857:857
857
857 is a prime number, therefore no factorization is possible=857
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 857 and 1000 therefore the GCD is 1 =1
The GCD is 1, therefore the fraction cannot be simplified=1000857​
=1000857​

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Frequently Asked Questions (FAQ)

  • What is tofraction 0.857 ?

    The solution to tofraction 0.857 is 857/1000

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