The solution to 16/21 is 0.76190…

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Popular Pre Algebra >

Write the Fraction in Simplest Form 16/21

Solution

\frac{16}{21}

Solution

0.76190 \dots

Solution steps

Convert

\frac{16}{21}

to decimal by applying long division

Long Division

\frac{16}{21} : 0.76190 \dots

\frac{16}{21}

Divide

16

21

to get

0

Divide

16

21

to get

0

0 21 \overline{∣ 16}

Multiply the quotient digit

(0)

by the divisor

21

0 21 \overline{∣ 16} \underline{0}

Subtract

0

from

16

0 21 \overline{∣ 16} \underline{0} 16

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

0. 21 \overline{∣ 16.0} \underline{0} 160

0. 21 \overline{∣ 16.0} \underline{0} 160

Divide

160

21

to get

7

Divide

160

21

to get

7

0.7 21 \overline{∣ 16.0} \underline{0} 160

Multiply the quotient digit

(7)

by the divisor

21

0.7 21 \overline{∣ 16.0} \underline{0} 160 \underline{147}

Subtract

147

from

160

0.7 21 \overline{∣ 16.0} \underline{0} 160 \underline{147} 13

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

0.7 21 \overline{∣ 16.00} \underline{0} 160 \underline{147} 130

0.7 21 \overline{∣ 16.00} \underline{0} 160 \underline{147} 130

Divide

130

21

to get

6

Divide

130

21

to get

6

0.76 21 \overline{∣ 16.00} \underline{0} 160 \underline{147} 130

Multiply the quotient digit

(6)

by the divisor

21

0.76 21 \overline{∣ 16.00} \underline{0} 160 \underline{147} 130 \underline{126}

Subtract

126

from

130

0.76 21 \overline{∣ 16.00} \underline{0} 160 \underline{147} 130 \underline{126} 4

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

0.76 21 \overline{∣ 16.000} \underline{0} 160 \underline{147} 130 \underline{126} 40

0.76 21 \overline{∣ 16.000} \underline{0} 160 \underline{147} 130 \underline{126} 40

Divide

40

21

to get

1

Divide

40

21

to get

1

0.761 21 \overline{∣ 16.000} \underline{0} 160 \underline{147} 130 \underline{126} 40

Multiply the quotient digit

(1)

by the divisor

21

0.761 21 \overline{∣ 16.000} \underline{0} 160 \underline{147} 130 \underline{126} 40 \underline{21}

Subtract

21

from

40

0.761 21 \overline{∣ 16.000} \underline{0} 160 \underline{147} 130 \underline{126} 40 \underline{21} 19

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

0.761 21 \overline{∣ 16.0000} \underline{0} 160 \underline{147} 130 \underline{126} 40 \underline{21} 190

0.761 21 \overline{∣ 16.0000} \underline{0} 160 \underline{147} 130 \underline{126} 40 \underline{21} 190

Divide

190

21

to get

9

Divide

190

21

to get

9

0.7619 21 \overline{∣ 16.0000} \underline{0} 160 \underline{147} 130 \underline{126} 40 \underline{21} 190

Multiply the quotient digit

(9)

by the divisor

21

0.7619 21 \overline{∣ 16.0000} \underline{0} 160 \underline{147} 130 \underline{126} 40 \underline{21} 190 \underline{189}

Subtract

189

from

190

0.7619 21 \overline{∣ 16.0000} \underline{0} 160 \underline{147} 130 \underline{126} 40 \underline{21} 190 \underline{189} 1

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

0.7619 21 \overline{∣ 16.00000} \underline{0} 160 \underline{147} 130 \underline{126} 40 \underline{21} 190 \underline{189} 10

0.7619 21 \overline{∣ 16.00000} \underline{0} 160 \underline{147} 130 \underline{126} 40 \underline{21} 190 \underline{189} 10

Divide

10

21

to get

0

Divide

10

21

to get

0

0.76190 21 \overline{∣ 16.00000} \underline{0} 160 \underline{147} 130 \underline{126} 40 \underline{21} 190 \underline{189} 10

Multiply the quotient digit

(0)

by the divisor

21

0.76190 21 \overline{∣ 16.00000} \underline{0} 160 \underline{147} 130 \underline{126} 40 \underline{21} 190 \underline{189} 10 \underline{0}

Subtract

0

from

10

0.76190 21 \overline{∣ 16.00000} \underline{0} 160 \underline{147} 130 \underline{126} 40 \underline{21} 190 \underline{189} 10 \underline{0} 10

0.76190 21 \overline{∣ 16.00000} \underline{0} 160 \underline{147} 130 \underline{126} 40 \underline{21} 190 \underline{189} 10 \underline{0} 10

Stopping at 5 decimal places

The solution for Long Division of

\frac{16}{21}

0.76190 \dots

0.76190 \dots

0.76190 \dots

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Frequently Asked Questions (FAQ)

What is 16/21 ?
The solution to 16/21 is 0.76190…

Write the Fraction in Simplest Form 16/21

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 16/21 ?

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