Solutions
Integral CalculatorDerivative CalculatorAlgebra CalculatorMatrix CalculatorMore...
Graphing
Line Graph CalculatorExponential Graph CalculatorQuadratic Graph CalculatorSin graph CalculatorMore...
Calculators
BMI CalculatorCompound Interest CalculatorPercentage CalculatorAcceleration CalculatorMore...
Geometry
Pythagorean Theorem CalculatorCircle Area CalculatorIsosceles Triangle CalculatorTriangles CalculatorMore...
Tools
NotebookGroupsCheat SheetsWorksheetsPracticeVerify
en
English
Español
Português
Français
Deutsch
Italiano
Русский
中文(简体)
한국어
日本語
Tiếng Việt
עברית
العربية
Popular Pre Algebra >

1/27+512+81-4/3+3375

  • Pre Algebra
  • Algebra
  • Pre Calculus
  • Calculus
  • Functions
  • Linear Algebra
  • Trigonometry
  • Statistics
  • Physics
  • Chemistry
  • Finance
  • Economics
  • Conversions

Solution

271​+512+81−34​+3375

Solution

39662719​
+1
Decimal
3966.70370…
Solution steps
271​+512+81−34​+3375
Follow the PEMDAS order of operations
Add and subtract (left to right)
271​+512=2713825​
271​+512
Convert element to fraction: 512=27512⋅27​=27512⋅27​+271​
Since the denominators are equal, combine the fractions: ca​±cb​=ca±b​=27512⋅27+1​
512⋅27+1=13825
512⋅27+1
Multiply the numbers: 512⋅27=13824=13824+1
Add the numbers: 13824+1=13825=13825
=2713825​
=2713825​+81−34​+3375
2713825​+81=2716012​
2713825​+81
Convert element to fraction: 81=2781⋅27​=2781⋅27​+2713825​
Since the denominators are equal, combine the fractions: ca​±cb​=ca±b​=2781⋅27+13825​
81⋅27+13825=16012
81⋅27+13825
Multiply the numbers: 81⋅27=2187=2187+13825
Add the numbers: 2187+13825=16012=16012
=2716012​
=2716012​−34​+3375
2716012​−34​=2715976​
2716012​−34​
Least Common Multiplier of 27,3:27
27,3
Least Common Multiplier (LCM)
Prime factorization of 27:3⋅3⋅3
27
27divides by 327=9⋅3=3⋅9
9divides by 39=3⋅3=3⋅3⋅3
Prime factorization of 3:3
3
3 is a prime number, therefore no factorization is possible=3
Multiply each factor the greatest number of times it occurs in either 27 or 3=3⋅3⋅3
Multiply the numbers: 3⋅3⋅3=27=27
Adjust Fractions based on the LCM
Multiply each numerator by the same amount needed to multiply its
corresponding denominator to turn it into the LCM 27
For 34​:multiply the denominator and numerator by 934​=3⋅94⋅9​=2736​
=2716012​−2736​
Since the denominators are equal, combine the fractions: ca​±cb​=ca±b​=2716012−36​
Subtract the numbers: 16012−36=15976=2715976​
=2715976​+3375
2715976​+3375=27107101​
2715976​+3375
Convert element to fraction: 3375=273375⋅27​=273375⋅27​+2715976​
Since the denominators are equal, combine the fractions: ca​±cb​=ca±b​=273375⋅27+15976​
3375⋅27+15976=107101
3375⋅27+15976
Multiply the numbers: 3375⋅27=91125=91125+15976
Add the numbers: 91125+15976=107101=107101
=27107101​
=27107101​
Convert improper fractions to mixed numbers:27107101​=39662719​
27107101​=3966Remainder19
27107101​
Write the problem in long division format27∣107101​​
Divide 107by 27to get 3
Divide 107by 27to get 3327∣107101​​
Multiply the quotient digit (3)by the divisor 27327∣107101​81​​
Subtract 81from 107327∣107101​81​26​
Bring down the next number of the dividend327∣107101​81​261​
327∣107101​81​261​
Divide 261by 27to get 9
Divide 261by 27to get 93927∣107101​81​261​
Multiply the quotient digit (9)by the divisor 273927∣107101​81​261243​​
Subtract 243from 2613927∣107101​81​261243​18​
Bring down the next number of the dividend3927∣107101​81​261243​180​
3927∣107101​81​261243​180​
Divide 180by 27to get 6
Divide 180by 27to get 639627∣107101​81​261243​180​
Multiply the quotient digit (6)by the divisor 2739627∣107101​81​261243​180162​​
Subtract 162from 18039627∣107101​81​261243​180162​18​
Bring down the next number of the dividend39627∣107101​81​261243​180162​181​
39627∣107101​81​261243​180162​181​
Divide 181by 27to get 6
Divide 181by 27to get 6396627∣107101​81​261243​180162​181​
Multiply the quotient digit (6)by the divisor 27396627∣107101​81​261243​180162​181162​​
Subtract 162from 181396627∣107101​81​261243​180162​181162​19​
396627∣107101​81​261243​180162​181162​19​
The solution for Long Division of 27107101​is 3966with remainder of 193966Remainder19
Convert to mixed number: QuotientDivisorRemainder​27107101​=39662719​
=39662719​
=39662719​

Popular Examples

3+1/5-3/1025\div 9+(78+54-68)2(2^2)+5(3)(-4)^2+2(-4)(290/2+56)38

Frequently Asked Questions (FAQ)

  • What is 1/27+512+81-4/3+3375 ?

    The solution to 1/27+512+81-4/3+3375 is 3966 19/27

Popular topics

imaginary number calculatorratio test calculatorasymptote calculatorremainder calculatorlinear approximation calculatorrational equation calculatorabsolute value calculatorriemann sum calculatoracceleration calculatorarea between curves calculatordomain and range calculatorsequence calculatorintegration by parts calculatorslope intercept form calculatoreigenvector calculatortrig identities calculatorpower series calculatortransformation calculatorhours calculatorparabola calculatorpercentage calculatoraverage rate of change calculatorage calculatorvolume calculatorchain rule calculatorconcavity calculatorrow echelon form calculatorp value calculatorend behavior calculatorfourier transform calculatortrinomial calculatorfactor by grouping calculatorimproper integral calculatorrational number calculatormultiplying polynomials calculatorvariable calculatorpemdas calculatorpythagorean theorem calculatorfunction calculatoru substitution calculator
Study ToolsAI Math SolverPopular ProblemsWorksheetsStudy GuidesPracticeCheat SheetsCalculatorsGraphing CalculatorGeometry CalculatorVerify Solution
AppsSymbolab App (Android)Graphing Calculator (Android)Practice (Android)Symbolab App (iOS)Graphing Calculator (iOS)Practice (iOS)Chrome ExtensionSymbolab Math Solver API
CompanyAbout SymbolabBlogHelp
LegalPrivacyTermsCookie PolicyCookie SettingsDo Not Sell or Share My Personal InfoCopyright, Community Guidelines, DSA & other Legal ResourcesLearneo Legal Center
Social Media
Symbolab, a Learneo, Inc. business
© Learneo, Inc. 2024