The solution to 10/11 is 0.90909…

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10/11

Solution

\frac{10}{11}

Solution

0.90909 \dots

Solution steps

Convert

\frac{10}{11}

to decimal by applying long division

Long Division

\frac{10}{11} : 0.90909 \dots

\frac{10}{11}

Divide

10

11

to get

0

Divide

10

11

to get

0

0 11 \overline{∣ 10}

Multiply the quotient digit

(0)

by the divisor

11

0 11 \overline{∣ 10} \underline{0}

Subtract

0

from

10

0 11 \overline{∣ 10} \underline{0} 10

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

0. 11 \overline{∣ 10.0} \underline{0} 100

0. 11 \overline{∣ 10.0} \underline{0} 100

Divide

100

11

to get

9

Divide

100

11

to get

9

0.9 11 \overline{∣ 10.0} \underline{0} 100

Multiply the quotient digit

(9)

by the divisor

11

0.9 11 \overline{∣ 10.0} \underline{0} 100 \underline{99}

Subtract

99

from

100

0.9 11 \overline{∣ 10.0} \underline{0} 100 \underline{99} 1

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

0.9 11 \overline{∣ 10.00} \underline{0} 100 \underline{99} 10

0.9 11 \overline{∣ 10.00} \underline{0} 100 \underline{99} 10

Divide

10

11

to get

0

Divide

10

11

to get

0

0.90 11 \overline{∣ 10.00} \underline{0} 100 \underline{99} 10

Multiply the quotient digit

(0)

by the divisor

11

0.90 11 \overline{∣ 10.00} \underline{0} 100 \underline{99} 10 \underline{0}

Subtract

0

from

10

0.90 11 \overline{∣ 10.00} \underline{0} 100 \underline{99} 10 \underline{0} 10

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

0.90 11 \overline{∣ 10.000} \underline{0} 100 \underline{99} 10 \underline{0} 100

0.90 11 \overline{∣ 10.000} \underline{0} 100 \underline{99} 10 \underline{0} 100

Divide

100

11

to get

9

Divide

100

11

to get

9

0.909 11 \overline{∣ 10.000} \underline{0} 100 \underline{99} 10 \underline{0} 100

Multiply the quotient digit

(9)

by the divisor

11

0.909 11 \overline{∣ 10.000} \underline{0} 100 \underline{99} 10 \underline{0} 100 \underline{99}

Subtract

99

from

100

0.909 11 \overline{∣ 10.000} \underline{0} 100 \underline{99} 10 \underline{0} 100 \underline{99} 1

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

0.909 11 \overline{∣ 10.0000} \underline{0} 100 \underline{99} 10 \underline{0} 100 \underline{99} 10

0.909 11 \overline{∣ 10.0000} \underline{0} 100 \underline{99} 10 \underline{0} 100 \underline{99} 10

Divide

10

11

to get

0

Divide

10

11

to get

0

0.9090 11 \overline{∣ 10.0000} \underline{0} 100 \underline{99} 10 \underline{0} 100 \underline{99} 10

Multiply the quotient digit

(0)

by the divisor

11

0.9090 11 \overline{∣ 10.0000} \underline{0} 100 \underline{99} 10 \underline{0} 100 \underline{99} 10 \underline{0}

Subtract

0

from

10

0.9090 11 \overline{∣ 10.0000} \underline{0} 100 \underline{99} 10 \underline{0} 100 \underline{99} 10 \underline{0} 10

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

0.9090 11 \overline{∣ 10.00000} \underline{0} 100 \underline{99} 10 \underline{0} 100 \underline{99} 10 \underline{0} 100

0.9090 11 \overline{∣ 10.00000} \underline{0} 100 \underline{99} 10 \underline{0} 100 \underline{99} 10 \underline{0} 100

Divide

100

11

to get

9

Divide

100

11

to get

9

0.90909 11 \overline{∣ 10.00000} \underline{0} 100 \underline{99} 10 \underline{0} 100 \underline{99} 10 \underline{0} 100

Multiply the quotient digit

(9)

by the divisor

11

0.90909 11 \overline{∣ 10.00000} \underline{0} 100 \underline{99} 10 \underline{0} 100 \underline{99} 10 \underline{0} 100 \underline{99}

Subtract

99

from

100

0.90909 11 \overline{∣ 10.00000} \underline{0} 100 \underline{99} 10 \underline{0} 100 \underline{99} 10 \underline{0} 100 \underline{99} 1

0.90909 11 \overline{∣ 10.00000} \underline{0} 100 \underline{99} 10 \underline{0} 100 \underline{99} 10 \underline{0} 100 \underline{99} 1

Stopping at 5 decimal places

The solution for Long Division of

\frac{10}{11}

0.90909 \dots

0.90909 \dots

0.90909 \dots

Popular Examples

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\frac{360}{5}

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180 - 4^{3} \cdot \frac{3}{6} + 13

lcm 3xyz^2,9x^2y+9x^2 lcm

3 x y z^{2}, 9 x^{2} y + 9 x^{2}

Frequently Asked Questions (FAQ)

What is 10/11 ?
The solution to 10/11 is 0.90909…

10/11

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 10/11 ?

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