What is todecimal 11/16 ?

The solution to todecimal 11/16 is 0.6875

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Popular Pre Algebra >

Convert to a Decimal 11/16

Solution

todecimal

Solution

0.6875

Solution steps

Convert

\frac{11}{16}

to decimal by applying long division

Long Division

\frac{11}{16} : 0.6875

\frac{11}{16}

Divide

11

16

to get

0

Divide

11

16

to get

0

0 16 \overline{∣ 11}

Multiply the quotient digit

(0)

by the divisor

16

0 16 \overline{∣ 11} \underline{0}

Subtract

0

from

11

0 16 \overline{∣ 11} \underline{0} 11

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

0. 16 \overline{∣ 11.0} \underline{0} 110

0. 16 \overline{∣ 11.0} \underline{0} 110

Divide

110

16

to get

6

Divide

110

16

to get

6

0.6 16 \overline{∣ 11.0} \underline{0} 110

Multiply the quotient digit

(6)

by the divisor

16

0.6 16 \overline{∣ 11.0} \underline{0} 110 \underline{96}

Subtract

96

from

110

0.6 16 \overline{∣ 11.0} \underline{0} 110 \underline{96} 14

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

0.6 16 \overline{∣ 11.00} \underline{0} 110 \underline{96} 140

0.6 16 \overline{∣ 11.00} \underline{0} 110 \underline{96} 140

Divide

140

16

to get

8

Divide

140

16

to get

8

0.68 16 \overline{∣ 11.00} \underline{0} 110 \underline{96} 140

Multiply the quotient digit

(8)

by the divisor

16

0.68 16 \overline{∣ 11.00} \underline{0} 110 \underline{96} 140 \underline{128}

Subtract

128

from

140

0.68 16 \overline{∣ 11.00} \underline{0} 110 \underline{96} 140 \underline{128} 12

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

0.68 16 \overline{∣ 11.000} \underline{0} 110 \underline{96} 140 \underline{128} 120

0.68 16 \overline{∣ 11.000} \underline{0} 110 \underline{96} 140 \underline{128} 120

Divide

120

16

to get

7

Divide

120

16

to get

7

0.687 16 \overline{∣ 11.000} \underline{0} 110 \underline{96} 140 \underline{128} 120

Multiply the quotient digit

(7)

by the divisor

16

0.687 16 \overline{∣ 11.000} \underline{0} 110 \underline{96} 140 \underline{128} 120 \underline{112}

Subtract

112

from

120

0.687 16 \overline{∣ 11.000} \underline{0} 110 \underline{96} 140 \underline{128} 120 \underline{112} 8

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

0.687 16 \overline{∣ 11.0000} \underline{0} 110 \underline{96} 140 \underline{128} 120 \underline{112} 80

0.687 16 \overline{∣ 11.0000} \underline{0} 110 \underline{96} 140 \underline{128} 120 \underline{112} 80

Divide

80

16

to get

5

Divide

80

16

to get

5

0.6875 16 \overline{∣ 11.0000} \underline{0} 110 \underline{96} 140 \underline{128} 120 \underline{112} 80

Multiply the quotient digit

(5)

by the divisor

16

0.6875 16 \overline{∣ 11.0000} \underline{0} 110 \underline{96} 140 \underline{128} 120 \underline{112} 80 \underline{80}

Subtract

80

from

80

0.6875 16 \overline{∣ 11.0000} \underline{0} 110 \underline{96} 140 \underline{128} 120 \underline{112} 80 \underline{80} 0

0.6875 16 \overline{∣ 11.0000} \underline{0} 110 \underline{96} 140 \underline{128} 120 \underline{112} 80 \underline{80} 0

The solution for Long Division of

\frac{11}{16}

0.6875

0.6875

0.6875

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Frequently Asked Questions (FAQ)

What is todecimal 11/16 ?
The solution to todecimal 11/16 is 0.6875

Convert to a Decimal 11/16

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is todecimal 11/16 ?

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