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Popular Pre Algebra >

4-2(5-2(4-2))\div 24-2(5-2(4-2))\div 2

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Solution

4−2(5−2(4−2))÷24−2(5−2(4−2))÷2

Solution

21211​
+1
Decimal
2.91666…
Solution steps
4−2(5−2(4−2))÷24−2(5−2(4−2))÷2
Follow the PEMDAS order of operations
Calculate within parentheses (5−2(4−2)):1
5−2(4−2)
Calculate within parentheses (4−2):2
4−2
4−2=2=2
=5−2⋅2
Multiply and divide (left to right) 2⋅2:4
2⋅2
2⋅2=4=4
=5−4
Add and subtract (left to right) 5−4:1
5−4
5−4=1=1
=1
=4−2⋅1÷24−2(5−2(4−2))÷2
Calculate within parentheses (5−2(4−2)):1
5−2(4−2)
Calculate within parentheses (4−2):2
4−2
4−2=2=2
=5−2⋅2
Multiply and divide (left to right) 2⋅2:4
2⋅2
2⋅2=4=4
=5−4
Add and subtract (left to right) 5−4:1
5−4
5−4=1=1
=1
=4−2⋅1÷24−2⋅1÷2
Multiply and divide (left to right) 2⋅1÷24:242​
2⋅1÷24
2⋅1=2=2÷24
2÷24=242​=242​
=4−242​−2⋅1÷2
Multiply and divide (left to right) 2⋅1÷2:1
2⋅1÷2
2⋅1=2=2÷2
2÷2=1=1
=4−242​−1
Add and subtract (left to right) 4−242​−1:1235​
4−242​−1
4−242​=1247​
4−242​
Cancel 242​:121​
242​
Cancel the common factor: 2=121​
=4−121​
Convert element to fraction: 4=124⋅12​=124⋅12​−121​
Since the denominators are equal, combine the fractions: ca​±cb​=ca±b​=124⋅12−1​
4⋅12−1=47
4⋅12−1
Multiply the numbers: 4⋅12=48=48−1
Subtract the numbers: 48−1=47=47
=1247​
=1247​−1
1247​−1=1235​
1247​−1
Convert element to fraction: 1=121⋅12​=−121⋅12​+1247​
Since the denominators are equal, combine the fractions: ca​±cb​=ca±b​=12−1⋅12+47​
−1⋅12+47=35
−1⋅12+47
Multiply the numbers: 1⋅12=12=−12+47
Add/Subtract the numbers: −12+47=35=35
=1235​
=1235​
=1235​
Convert improper fractions to mixed numbers:1235​=21211​
1235​=2Remainder11
1235​
Write the problem in long division format12∣35​​
Divide 35by 12to get 2
Divide 35by 12to get 2212∣35​​
Multiply the quotient digit (2)by the divisor 12212∣35​24​​
Subtract 24from 35212∣35​24​11​
212∣35​24​11​
The solution for Long Division of 1235​is 2with remainder of 112Remainder11
Convert to mixed number: QuotientDivisorRemainder​1235​=21211​
=21211​
=21211​

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Frequently Asked Questions (FAQ)

  • What is 4-2(5-2(4-2))\div 24-2(5-2(4-2))\div 2 ?

    The solution to 4-2(5-2(4-2))\div 24-2(5-2(4-2))\div 2 is 2 11/12

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