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Popular Pre Algebra >

dectofrac 0.36

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Solution

dectofrac

Solution

259​
+1
Decimal
0.36
Solution steps
0.36
Multiply and divide by 10 for every number after the decimal point.
There are 2 digits to the right of the decimal point, therefore multiply and divide by 100
=1000.36⋅100​
=10036​
Reduce the fraction 10036​:259​
10036​
Find a common factor of 36 and 100 in order to cancel it out
Greatest Common Divisor of 36,100:4
36,100
Greatest Common Divisor (GCD)
Prime factorization of 36:2⋅2⋅3⋅3
36
36divides by 236=18⋅2=2⋅18
18divides by 218=9⋅2=2⋅2⋅9
9divides by 39=3⋅3=2⋅2⋅3⋅3
2,3 are all prime numbers, therefore no further factorization is possible=2⋅2⋅3⋅3
Prime factorization of 100:2⋅2⋅5⋅5
100
100divides by 2100=50⋅2=2⋅50
50divides by 250=25⋅2=2⋅2⋅25
25divides by 525=5⋅5=2⋅2⋅5⋅5
2,5 are all prime numbers, therefore no further factorization is possible=2⋅2⋅5⋅5
The prime factors common to 36,100 are =2⋅2
Multiply the numbers: 2⋅2=4=4
Factor out 4 from the numerator and the denominator
36=4⋅9,100=4⋅25
=4⋅254⋅9​
Cancel the common factor: 4=259​
=259​

Popular Examples

simplify 120/15longdivision (0.3)/(0.5)longmult 25*16(0)^2+2longmult 324.45*98.4

Frequently Asked Questions (FAQ)

  • What is dectofrac 0.36 ?

    The solution to dectofrac 0.36 is 9/25

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