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Popular Pre Algebra >

Convert to a Simplified Fraction 0.88888

  • Pre Algebra
  • Algebra
  • Pre Calculus
  • Calculus
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Solution

tofraction

Solution

1250011111​
+1
Decimal
0.88888
Solution steps
0.88888
Multiply and divide by 10 for every number after the decimal point.
There are 5 digits to the right of the decimal point, therefore multiply and divide by 100000
=1000000.88888⋅100000​
=10000088888​
Reduce the fraction 10000088888​:1250011111​
10000088888​
Find a common factor of 88888 and 100000 in order to cancel it out
Greatest Common Divisor of 88888,100000:8
88888,100000
Greatest Common Divisor (GCD)
Prime factorization of 88888:2⋅2⋅2⋅41⋅271
88888
88888divides by 288888=44444⋅2=2⋅44444
44444divides by 244444=22222⋅2=2⋅2⋅22222
22222divides by 222222=11111⋅2=2⋅2⋅2⋅11111
11111divides by 4111111=271⋅41=2⋅2⋅2⋅41⋅271
2,41,271 are all prime numbers, therefore no further factorization is possible=2⋅2⋅2⋅41⋅271
Prime factorization of 100000
The prime factors common to 88888,100000 are =2⋅2⋅2
Multiply the numbers: 2⋅2⋅2=8=8
Factor out 8 from the numerator and the denominator
88888=8⋅11111,100000=8⋅12500
=8⋅125008⋅11111​
Cancel the common factor: 8=1250011111​
=1250011111​

Popular Examples

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Frequently Asked Questions (FAQ)

  • What is tofraction 0.88888 ?

    The solution to tofraction 0.88888 is 11111/12500

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