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Popular Pre Algebra >

17%3*2-12+15

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Solution

17%3⋅2−12+15

Solution

4501​
+1
Decimal
4.02
Solution steps
17%⋅3⋅2−12+15
Follow the PEMDAS order of operations
Multiply and divide (left to right) 17%⋅3⋅2:5051​
17%⋅3⋅2
17%3=10051​
17%⋅3
Convert 17% into a fraction:10017​
17%
Rewrite 17% as 10017​=10017​
=10017​⋅3
10017​⋅3=10051​
10017​⋅3
Convert element to fraction: 3=13​=10017​⋅13​
Apply the fraction rule: ba​⋅dc​=b⋅da⋅c​=100⋅117⋅3​
Multiply the numbers: 17⋅3=51=100⋅151​
Multiply the numbers: 100⋅1=100=10051​
=10051​
=10051​⋅2
10051​⋅2=5051​
10051​⋅2
Convert element to fraction: 2=12​=10051​⋅12​
Apply the fraction rule: ba​⋅dc​=b⋅da⋅c​=100⋅151⋅2​
100⋅151⋅2​=5051​
100⋅151⋅2​
Multiply the numbers: 100⋅1=100=10051⋅2​
Factor the number: 100=2⋅50=2⋅5051⋅2​
Cancel the common factor: 2=5051​
=5051​
=5051​
=5051​−12+15
Add and subtract (left to right) 5051​−12+15:50201​
5051​−12+15
5051​−12=−50549​
5051​−12
Convert element to fraction: 12=5012⋅50​=−5012⋅50​+5051​
Since the denominators are equal, combine the fractions: ca​±cb​=ca±b​=50−12⋅50+51​
−12⋅50+51=−549
−12⋅50+51
Multiply the numbers: 12⋅50=600=−600+51
Add/Subtract the numbers: −600+51=−549=−549
=50−549​
Apply the fraction rule: b−a​=−ba​=−50549​
=−50549​+15
−50549​+15=50201​
−50549​+15
Convert element to fraction: 15=5015⋅50​=5015⋅50​−50549​
Since the denominators are equal, combine the fractions: ca​±cb​=ca±b​=5015⋅50−549​
15⋅50−549=201
15⋅50−549
Multiply the numbers: 15⋅50=750=750−549
Subtract the numbers: 750−549=201=201
=50201​
=50201​
=50201​
Convert improper fractions to mixed numbers:50201​=4501​
50201​=4Remainder1
50201​
Write the problem in long division format50∣201​​
Divide 201by 50to get 4
Divide 201by 50to get 4450∣201​​
Multiply the quotient digit (4)by the divisor 50450∣201​200​​
Subtract 200from 201450∣201​200​1​
450∣201​200​1​
The solution for Long Division of 50201​is 4with remainder of 14Remainder1
Convert to mixed number: QuotientDivisorRemainder​50201​=4501​
=4501​
=4501​

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Frequently Asked Questions (FAQ)

  • What is 17%3*2-12+15 ?

    The solution to 17%3*2-12+15 is 4 1/50

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