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Popular Pre Algebra >

((104-38)\div 104)× 290

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Solution

((104−38)÷104)×290

Solution

184261​
+1
Decimal
184.03846…
Solution steps
((104−38)÷104)×290
Follow the PEMDAS order of operations
Calculate within parentheses ((104−38)÷104):10466​
(104−38)÷104
Calculate within parentheses (104−38):66
104−38
104−38=66=66
=66÷104
Multiply and divide (left to right) 66÷104:10466​
66÷104
66÷104=10466​=10466​
=10466​
=10466​×290
Multiply and divide (left to right) 10466​×290:264785​
10466​×290
Cancel 10466​:5233​
10466​
Factor the number: 66=2⋅33=1042⋅33​
Factor the number: 104=2⋅52=2⋅522⋅33​
Cancel the common factor: 2=5233​
=5233​⋅290
5233​⋅290=264785​
5233​⋅290
Convert element to fraction: 290=1290​=5233​⋅1290​
Apply the fraction rule: ba​⋅dc​=b⋅da⋅c​=52⋅133⋅290​
Cancel 52⋅133⋅290​:264785​
52⋅133⋅290​
Multiply the numbers: 52⋅1=52=5233⋅290​
Factor the number: 290=2⋅145=5233⋅2⋅145​
Factor the number: 52=2⋅26=2⋅2633⋅2⋅145​
Cancel the common factor: 2=2633⋅145​
Multiply the numbers: 33⋅145=4785=264785​
=264785​
=264785​
=264785​
Convert improper fractions to mixed numbers:264785​=184261​
264785​=184Remainder1
264785​
Write the problem in long division format26∣4785​​
Divide 47by 26to get 1
Divide 47by 26to get 1126∣4785​​
Multiply the quotient digit (1)by the divisor 26126∣4785​26​​
Subtract 26from 47126∣4785​26​21​
Bring down the next number of the dividend126∣4785​26​218​
126∣4785​26​218​
Divide 218by 26to get 8
Divide 218by 26to get 81826∣4785​26​218​
Multiply the quotient digit (8)by the divisor 261826∣4785​26​218208​​
Subtract 208from 2181826∣4785​26​218208​10​
Bring down the next number of the dividend1826∣4785​26​218208​105​
1826∣4785​26​218208​105​
Divide 105by 26to get 4
Divide 105by 26to get 418426∣4785​26​218208​105​
Multiply the quotient digit (4)by the divisor 2618426∣4785​26​218208​105104​​
Subtract 104from 10518426∣4785​26​218208​105104​1​
18426∣4785​26​218208​105104​1​
The solution for Long Division of 264785​is 184with remainder of 1184Remainder1
Convert to mixed number: QuotientDivisorRemainder​264785​=184261​
=184261​
=184261​

Popular Examples

8\div 2^2-0^2+3-1/2 (3)+66{-4+8[-3+5]+4}-2(3-(5-2(7-15)))

Frequently Asked Questions (FAQ)

  • What is ((104-38)\div 104)× 290 ?

    The solution to ((104-38)\div 104)× 290 is 184 1/26

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