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Popular Pre Algebra >

Convert to a Decimal 13/6

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Solution

todecimal

Solution

2.16666…
Solution steps
Convert 613​to decimal by applying long division
Long Division 613​:2.16666…
613​
Write the problem in long division format6∣13​​
Divide 13by 6to get 2
Divide 13by 6to get 226∣13​​
Multiply the quotient digit (2)by the divisor 626∣13​12​​
Subtract 12from 1326∣13​12​1​
Add a decimal place and a zero to the dividendBring down the zero from the dividend2.6∣13.0​12​10​
2.6∣13.0​12​10​
Divide 10by 6to get 1
Divide 10by 6to get 12.16∣13.0​12​10​
Multiply the quotient digit (1)by the divisor 62.16∣13.0​12​106​​
Subtract 6from 102.16∣13.0​12​106​4​
Add a zero to the dividendBring down the zero from the dividend2.16∣13.00​12​106​40​
2.16∣13.00​12​106​40​
Divide 40by 6to get 6
Divide 40by 6to get 62.166∣13.00​12​106​40​
Multiply the quotient digit (6)by the divisor 62.166∣13.00​12​106​4036​​
Subtract 36from 402.166∣13.00​12​106​4036​4​
Add a zero to the dividendBring down the zero from the dividend2.166∣13.000​12​106​4036​40​
2.166∣13.000​12​106​4036​40​
Divide 40by 6to get 6
Divide 40by 6to get 62.1666∣13.000​12​106​4036​40​
Multiply the quotient digit (6)by the divisor 62.1666∣13.000​12​106​4036​4036​​
Subtract 36from 402.1666∣13.000​12​106​4036​4036​4​
Add a zero to the dividendBring down the zero from the dividend2.1666∣13.0000​12​106​4036​4036​40​
2.1666∣13.0000​12​106​4036​4036​40​
Divide 40by 6to get 6
Divide 40by 6to get 62.16666∣13.0000​12​106​4036​4036​40​
Multiply the quotient digit (6)by the divisor 62.16666∣13.0000​12​106​4036​4036​4036​​
Subtract 36from 402.16666∣13.0000​12​106​4036​4036​4036​4​
Add a zero to the dividendBring down the zero from the dividend2.16666∣13.00000​12​106​4036​4036​4036​40​
2.16666∣13.00000​12​106​4036​4036​4036​40​
Divide 40by 6to get 6
Divide 40by 6to get 62.166666∣13.00000​12​106​4036​4036​4036​40​
Multiply the quotient digit (6)by the divisor 62.166666∣13.00000​12​106​4036​4036​4036​4036​​
Subtract 36from 402.166666∣13.00000​12​106​4036​4036​4036​4036​4​
2.166666∣13.00000​12​106​4036​4036​4036​4036​4​
Stopping at 5 decimal places
The solution for Long Division of 613​is 2.16666…2.16666…
2.16666…

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Frequently Asked Questions (FAQ)

  • What is todecimal 13/6 ?

    The solution to todecimal 13/6 is 2.16666…

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