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Popular Pre Algebra >

Convert to a Simplified Fraction 0.0078125

  • Pre Algebra
  • Algebra
  • Pre Calculus
  • Calculus
  • Functions
  • Linear Algebra
  • Trigonometry
  • Statistics
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Solution

tofraction

Solution

1281​
+1
Decimal
0.0078125
Solution steps
0.0078125
Multiply and divide by 10 for every number after the decimal point.
There are 7 digits to the right of the decimal point, therefore multiply and divide by 10000000
=100000000.0078125⋅10000000​
=1000000078125​
Reduce the fraction 1000000078125​:1281​
1000000078125​
Find a common factor of 78125 and 10000000 in order to cancel it out
Greatest Common Divisor of 78125,10000000:78125
78125,10000000
Greatest Common Divisor (GCD)
Prime factorization of 78125:5⋅5⋅5⋅5⋅5⋅5⋅5
78125
78125divides by 578125=15625⋅5=5⋅15625
15625divides by 515625=3125⋅5=5⋅5⋅3125
3125divides by 53125=625⋅5=5⋅5⋅5⋅625
625divides by 5625=125⋅5=5⋅5⋅5⋅5⋅125
125divides by 5125=25⋅5=5⋅5⋅5⋅5⋅5⋅25
25divides by 525=5⋅5=5⋅5⋅5⋅5⋅5⋅5⋅5
Prime factorization of 10000000
The prime factors common to 78125,10000000 are =5⋅5⋅5⋅5⋅5⋅5⋅5
Multiply the numbers: 5⋅5⋅5⋅5⋅5⋅5⋅5=78125=78125
Factor out 78125 from the numerator and the denominator
78125=78125⋅1,10000000=78125⋅128
=78125⋅12878125⋅1​
Cancel the common factor: 78125=1281​
=1281​

Popular Examples

Find the GCF 26 , 39Evaluate 5(90)+125Convert to a Mixed Number 17/20Convert to a Mixed Number 360/5Evaluate 31/2

Frequently Asked Questions (FAQ)

  • What is tofraction 0.0078125 ?

    The solution to tofraction 0.0078125 is 1/128

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