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Popular Pre Algebra >

Convert to a Simplified Fraction 13.3333

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Solution

tofraction

Solution

13100003333​
+1
Decimal
13.3333
Solution steps
13.3333
Rewrite as=13+0.3333
Convert 0.3333 to a fraction:100003333​
0.3333
Multiply and divide by 10 for every number after the decimal point.
There are 4 digits to the right of the decimal point, therefore multiply and divide by 10000
=100000.3333⋅10000​
=100003333​
Reduce the fraction 100003333​:100003333​
100003333​
Find a common factor of 3333 and 10000 in order to cancel it out
Greatest Common Divisor of 3333,10000:1
3333,10000
Greatest Common Divisor (GCD)
Prime factorization of 3333:3⋅11⋅101
3333
3333divides by 33333=1111⋅3=3⋅1111
1111divides by 111111=101⋅11=3⋅11⋅101
3,11,101 are all prime numbers, therefore no further factorization is possible=3⋅11⋅101
Prime factorization of 10000:2⋅2⋅2⋅2⋅5⋅5⋅5⋅5
10000
10000divides by 210000=5000⋅2=2⋅5000
5000divides by 25000=2500⋅2=2⋅2⋅2500
2500divides by 22500=1250⋅2=2⋅2⋅2⋅1250
1250divides by 21250=625⋅2=2⋅2⋅2⋅2⋅625
625divides by 5625=125⋅5=2⋅2⋅2⋅2⋅5⋅125
125divides by 5125=25⋅5=2⋅2⋅2⋅2⋅5⋅5⋅25
25divides by 525=5⋅5=2⋅2⋅2⋅2⋅5⋅5⋅5⋅5
2,5 are all prime numbers, therefore no further factorization is possible=2⋅2⋅2⋅2⋅5⋅5⋅5⋅5
No common factor for 3333 and 10000 therefore the GCD is 1 =1
The GCD is 1, therefore the fraction cannot be simplified=100003333​
=100003333​
=13+100003333​
=13100003333​

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Frequently Asked Questions (FAQ)

  • What is tofraction 13.3333 ?

    The solution to tofraction 13.3333 is 13 3333/10000

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