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Popular Pre Algebra >

simplify 5000-11%-27%

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Solution

simplify 5000−11%−27%

Solution

26497​
+1
Decimal
3248.5
Solution steps
5000−11%−27%
5000−11%=4450
5000−11%
=5000−11%⋅5000
5000−11%⋅5000=4450
5000−11%⋅5000
11%⋅5000=550
11%⋅5000
Convert 11% into a fraction:10011​
11%
Rewrite 11% as 10011​=10011​
=10011​⋅5000
10011​⋅5000=550
10011​⋅5000
Convert element to fraction: 5000=15000​=10011​⋅15000​
Apply the fraction rule: ba​⋅dc​=b⋅da⋅c​=100⋅111⋅5000​
Cancel 100⋅111⋅5000​:550
100⋅111⋅5000​
Multiply the numbers: 100⋅1=100=10011⋅5000​
Divide the numbers: 1005000​=50=11⋅50
Multiply the numbers: 11⋅50=550=550
=550
=550
=5000−550
Subtract the numbers: 5000−550=4450=4450
=4450
=4450−27%
=4450−27%⋅4450
27%⋅4450=22403​
27%⋅4450
Convert 27% into a fraction:10027​
27%
Rewrite 27% as 10027​=10027​
=10027​⋅4450
10027​⋅4450=22403​
10027​⋅4450
Convert element to fraction: 4450=14450​=10027​⋅14450​
Apply the fraction rule: ba​⋅dc​=b⋅da⋅c​=100⋅127⋅4450​
Cancel 100⋅127⋅4450​:22403​
100⋅127⋅4450​
Multiply the numbers: 100⋅1=100=10027⋅4450​
Factor the number: 4450=50⋅89=10027⋅50⋅89​
Factor the number: 100=50⋅2=50⋅227⋅50⋅89​
Cancel the common factor: 50=227⋅89​
Multiply the numbers: 27⋅89=2403=22403​
=22403​
=22403​
=4450−22403​
4450−22403​=26497​
4450−22403​
Convert 4450to fraction :28900​
4450
Apply the fraction rule: a=bab​=24450⋅2​
Multiply the numbers: 4450⋅2=8900=28900​
=28900​−22403​
28900​−22403​=26497​
28900​−22403​
Apply the fraction rule: ca​−cb​=ca−b​=28900−2403​
8900−2403=6497
8900−2403
Line up the numbers−​82​94​00​03​
Subtract each column of digits, starting from the right and working left
If the digit being subtracted is larger than the digit above it, 'borrow' a digit from the next column to the left.
In the bolded column, subtract the second digit from the first−​82​94​00​03​
The bottom number is larger than the upper number. Try to'borrow' a digit from the left.
The top digit is not bigger than the bottom one. Try to'borrow' a digit from the left.−​82​94​00​03​
Borrow 1 from 9. The remainder is 8−​82​894​1000​03​
Add 1 ten to 0: 10+0=10−​82​894​1000​03​
Borrow 1 from 10. The remainder is 9−​82​894​9100​1003​
Add 1 ten to 0: 10+0=10−​82​894​9100​1003​
In the bolded column, subtract the second digit from the first: 10−3=7​​​​7​−​82​894​9100​1003​​
In the bolded column, subtract the second digit from the first: 9−0=9​​​9​7​−​82​894​9100​1003​​
In the bolded column, subtract the second digit from the first: 8−4=4​​4​9​7​−​82​894​9100​1003​​
In the bolded column, subtract the second digit from the first: 8−2=6​6​4​9​7​−​82​894​9100​1003​​
6497
=26497​
=26497​
=26497​

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Frequently Asked Questions (FAQ)

  • What is 5000-11%-27% ?

    The solution to 5000-11%-27% is 6497/2

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