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Popular Pre Algebra >

dectofrac 0.252

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Solution

dectofrac

Solution

25063​
+1
Decimal
0.252
Solution steps
0.252
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
=10000.252⋅1000​
=1000252​
Reduce the fraction 1000252​:25063​
1000252​
Find a common factor of 252 and 1000 in order to cancel it out
Greatest Common Divisor of 252,1000:4
252,1000
Greatest Common Divisor (GCD)
Prime factorization of 252:2⋅2⋅3⋅3⋅7
252
252divides by 2252=126⋅2=2⋅126
126divides by 2126=63⋅2=2⋅2⋅63
63divides by 363=21⋅3=2⋅2⋅3⋅21
21divides by 321=7⋅3=2⋅2⋅3⋅3⋅7
2,3,7 are all prime numbers, therefore no further factorization is possible=2⋅2⋅3⋅3⋅7
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
The prime factors common to 252,1000 are =2⋅2
Multiply the numbers: 2⋅2=4=4
Factor out 4 from the numerator and the denominator
252=4⋅63,1000=4⋅250
=4⋅2504⋅63​
Cancel the common factor: 4=25063​
=25063​

Popular Examples

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Frequently Asked Questions (FAQ)

  • What is dectofrac 0.252 ?

    The solution to dectofrac 0.252 is 63/250

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