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Popular Pre Algebra >

Convert to a Simplified Fraction 0.09375

  • Pre Algebra
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Solution

tofraction

Solution

323​
+1
Decimal
0.09375
Solution steps
0.09375
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
=1000000.09375⋅100000​
=1000009375​
Reduce the fraction 1000009375​:323​
1000009375​
Find a common factor of 9375 and 100000 in order to cancel it out
Greatest Common Divisor of 9375,100000:3125
9375,100000
Greatest Common Divisor (GCD)
Prime factorization of 9375:3⋅5⋅5⋅5⋅5⋅5
9375
9375divides by 39375=3125⋅3=3⋅3125
3125divides by 53125=625⋅5=3⋅5⋅625
625divides by 5625=125⋅5=3⋅5⋅5⋅125
125divides by 5125=25⋅5=3⋅5⋅5⋅5⋅25
25divides by 525=5⋅5=3⋅5⋅5⋅5⋅5⋅5
3,5 are all prime numbers, therefore no further factorization is possible=3⋅5⋅5⋅5⋅5⋅5
Prime factorization of 100000
The prime factors common to 9375,100000 are =5⋅5⋅5⋅5⋅5
Multiply the numbers: 5⋅5⋅5⋅5⋅5=3125=3125
Factor out 3125 from the numerator and the denominator
9375=3125⋅3,100000=3125⋅32
=3125⋅323125⋅3​
Cancel the common factor: 3125=323​
=323​

Popular Examples

Convert to a Simplified Fraction 23.5Multiply Using Long Multiplication 92*8Evaluate 24/11Divide Using Long Division 62÷4Convert to a Mixed Number 1.15

Frequently Asked Questions (FAQ)

  • What is tofraction 0.09375 ?

    The solution to tofraction 0.09375 is 3/32

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