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Popular Pre Algebra >

Determine if Rational 5462.263

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Solution

dectofrac

Solution

54621000263​
+1
Decimal
5462.263
Solution steps
5462.263
Rewrite as=5462+0.26299…
Convert 0.26299… to a fraction:1000263​
0.26299…
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
=10000.26299…⋅1000​
=1000263​
Reduce the fraction 1000263​:1000263​
1000263​
Find a common factor of 263 and 1000 in order to cancel it out
Greatest Common Divisor of 263,1000:1
263,1000
Greatest Common Divisor (GCD)
Prime factorization of 263:263
263
263 is a prime number, therefore no factorization is possible=263
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 263 and 1000 therefore the GCD is 1 =1
The GCD is 1, therefore the fraction cannot be simplified=1000263​
=1000263​
=5462+1000263​
=54621000263​

Popular Examples

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Frequently Asked Questions (FAQ)

  • What is dectofrac 5462.263 ?

    The solution to dectofrac 5462.263 is 5462 263/1000

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