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Popular Pre Algebra >

13(31\div 3)-19

  • Pre Algebra
  • Algebra
  • Pre Calculus
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Solution

13(31÷3)−19

Solution

11531​
+1
Decimal
115.33333…
Solution steps
13(31÷3)−19
Follow the PEMDAS order of operations
Calculate within parentheses (31÷3):331​
31÷3
31÷3=331​=331​
=13⋅331​−19
Multiply and divide (left to right) 13⋅331​:3403​
13⋅331​
Convert element to fraction: 13=113​=113​⋅331​
Apply the fraction rule: ba​⋅dc​=b⋅da⋅c​=1⋅313⋅31​
Multiply the numbers: 13⋅31=403=1⋅3403​
Multiply the numbers: 1⋅3=3=3403​
=3403​−19
Add and subtract (left to right) 3403​−19:3346​
3403​−19
3403​−19=3346​
3403​−19
Convert element to fraction: 19=319⋅3​=−319⋅3​+3403​
Since the denominators are equal, combine the fractions: ca​±cb​=ca±b​=3−19⋅3+403​
−19⋅3+403=346
−19⋅3+403
Multiply the numbers: 19⋅3=57=−57+403
Add/Subtract the numbers: −57+403=346=346
=3346​
=3346​
=3346​
Convert improper fractions to mixed numbers:3346​=11531​
3346​=115Remainder1
3346​
Write the problem in long division format3∣346​​
Divide 3by 3to get 1
Divide 3by 3to get 113∣346​​
Multiply the quotient digit (1)by the divisor 313∣346​3​​
Subtract 3from 313∣346​3​0​
Bring down the next number of the dividend13∣346​3​04​
13∣346​3​04​
Divide 4by 3to get 1
Divide 4by 3to get 1113∣346​3​04​
Multiply the quotient digit (1)by the divisor 3113∣346​3​043​​
Subtract 3from 4113∣346​3​043​1​
Bring down the next number of the dividend113∣346​3​043​16​
113∣346​3​043​16​
Divide 16by 3to get 5
Divide 16by 3to get 51153∣346​3​043​16​
Multiply the quotient digit (5)by the divisor 31153∣346​3​043​1615​​
Subtract 15from 161153∣346​3​043​1615​1​
1153∣346​3​043​1615​1​
The solution for Long Division of 3346​is 115with remainder of 1115Remainder1
Convert to mixed number: QuotientDivisorRemainder​3346​=11531​
=11531​
=11531​

Popular Examples

8× (4+25)8+3(2-7)+570× 40\div 100915^2+5-2(3/4*8)^2

Frequently Asked Questions (FAQ)

  • What is 13(31\div 3)-19 ?

    The solution to 13(31\div 3)-19 is 115 1/3

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