What is todecimal 3/11 ?

The solution to todecimal 3/11 is 0.27272…

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Popular >

Convert to a Decimal 3/11

Solution

convert to decimal

\frac{3}{11}

Solution

0.27272 \dots

Solution steps

Convert

\frac{3}{11}

to decimal by applying long division

Long Division

\frac{3}{11} : 0.27272 \dots

\frac{3}{11}

Divide

3

11

to get

0

Divide

3

11

to get

0

0 11 \overline{∣ 3}

Multiply the quotient digit

(0)

by the divisor

11

0 11 \overline{∣ 3} \underline{0}

Subtract

0

from

3

0 11 \overline{∣ 3} \underline{0} 3

Add a decimal place and a zero to the dividendBring down the zero from the dividend

0. 11 \overline{∣ 3.0} \underline{0} 30

0. 11 \overline{∣ 3.0} \underline{0} 30

Divide

30

11

to get

2

Divide

30

11

to get

2

0.2 11 \overline{∣ 3.0} \underline{0} 30

Multiply the quotient digit

(2)

by the divisor

11

0.2 11 \overline{∣ 3.0} \underline{0} 30 \underline{22}

Subtract

22

from

30

0.2 11 \overline{∣ 3.0} \underline{0} 30 \underline{22} 8

Add a zero to the dividendBring down the zero from the dividend

0.2 11 \overline{∣ 3.00} \underline{0} 30 \underline{22} 80

0.2 11 \overline{∣ 3.00} \underline{0} 30 \underline{22} 80

Divide

80

11

to get

7

Divide

80

11

to get

7

0.27 11 \overline{∣ 3.00} \underline{0} 30 \underline{22} 80

Multiply the quotient digit

(7)

by the divisor

11

0.27 11 \overline{∣ 3.00} \underline{0} 30 \underline{22} 80 \underline{77}

Subtract

77

from

80

0.27 11 \overline{∣ 3.00} \underline{0} 30 \underline{22} 80 \underline{77} 3

Add a zero to the dividendBring down the zero from the dividend

0.27 11 \overline{∣ 3.000} \underline{0} 30 \underline{22} 80 \underline{77} 30

0.27 11 \overline{∣ 3.000} \underline{0} 30 \underline{22} 80 \underline{77} 30

Divide

30

11

to get

2

Divide

30

11

to get

2

0.272 11 \overline{∣ 3.000} \underline{0} 30 \underline{22} 80 \underline{77} 30

Multiply the quotient digit

(2)

by the divisor

11

0.272 11 \overline{∣ 3.000} \underline{0} 30 \underline{22} 80 \underline{77} 30 \underline{22}

Subtract

22

from

30

0.272 11 \overline{∣ 3.000} \underline{0} 30 \underline{22} 80 \underline{77} 30 \underline{22} 8

Add a zero to the dividendBring down the zero from the dividend

0.272 11 \overline{∣ 3.0000} \underline{0} 30 \underline{22} 80 \underline{77} 30 \underline{22} 80

0.272 11 \overline{∣ 3.0000} \underline{0} 30 \underline{22} 80 \underline{77} 30 \underline{22} 80

Divide

80

11

to get

7

Divide

80

11

to get

7

0.2727 11 \overline{∣ 3.0000} \underline{0} 30 \underline{22} 80 \underline{77} 30 \underline{22} 80

Multiply the quotient digit

(7)

by the divisor

11

0.2727 11 \overline{∣ 3.0000} \underline{0} 30 \underline{22} 80 \underline{77} 30 \underline{22} 80 \underline{77}

Subtract

77

from

80

0.2727 11 \overline{∣ 3.0000} \underline{0} 30 \underline{22} 80 \underline{77} 30 \underline{22} 80 \underline{77} 3

Add a zero to the dividendBring down the zero from the dividend

0.2727 11 \overline{∣ 3.00000} \underline{0} 30 \underline{22} 80 \underline{77} 30 \underline{22} 80 \underline{77} 30

0.2727 11 \overline{∣ 3.00000} \underline{0} 30 \underline{22} 80 \underline{77} 30 \underline{22} 80 \underline{77} 30

Divide

30

11

to get

2

Divide

30

11

to get

2

0.27272 11 \overline{∣ 3.00000} \underline{0} 30 \underline{22} 80 \underline{77} 30 \underline{22} 80 \underline{77} 30

Multiply the quotient digit

(2)

by the divisor

11

0.27272 11 \overline{∣ 3.00000} \underline{0} 30 \underline{22} 80 \underline{77} 30 \underline{22} 80 \underline{77} 30 \underline{22}

Subtract

22

from

30

0.27272 11 \overline{∣ 3.00000} \underline{0} 30 \underline{22} 80 \underline{77} 30 \underline{22} 80 \underline{77} 30 \underline{22} 8

0.27272 11 \overline{∣ 3.00000} \underline{0} 30 \underline{22} 80 \underline{77} 30 \underline{22} 80 \underline{77} 30 \underline{22} 8

Stopping at 5 decimal places

The solution for Long Division of

\frac{3}{11}

0.27272 \dots

0.27272 \dots

0.27272 \dots

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Frequently Asked Questions (FAQ)

What is todecimal 3/11 ?
The solution to todecimal 3/11 is 0.27272…