The solution to 16/49 is 0.32653…

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Popular Pre Algebra >

Write the Fraction in Simplest Form 16/49

Solution

\frac{16}{49}

Solution

0.32653 \dots

Solution steps

Convert

\frac{16}{49}

to decimal by applying long division

Long Division

\frac{16}{49} : 0.32653 \dots

\frac{16}{49}

Divide

16

49

to get

0

Divide

16

49

to get

0

0 49 \overline{∣ 16}

Multiply the quotient digit

(0)

by the divisor

49

0 49 \overline{∣ 16} \underline{0}

Subtract

0

from

16

0 49 \overline{∣ 16} \underline{0} 16

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

0. 49 \overline{∣ 16.0} \underline{0} 160

0. 49 \overline{∣ 16.0} \underline{0} 160

Divide

160

49

to get

3

Divide

160

49

to get

3

0.3 49 \overline{∣ 16.0} \underline{0} 160

Multiply the quotient digit

(3)

by the divisor

49

0.3 49 \overline{∣ 16.0} \underline{0} 160 \underline{147}

Subtract

147

from

160

0.3 49 \overline{∣ 16.0} \underline{0} 160 \underline{147} 13

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

0.3 49 \overline{∣ 16.00} \underline{0} 160 \underline{147} 130

0.3 49 \overline{∣ 16.00} \underline{0} 160 \underline{147} 130

Divide

130

49

to get

2

Divide

130

49

to get

2

0.32 49 \overline{∣ 16.00} \underline{0} 160 \underline{147} 130

Multiply the quotient digit

(2)

by the divisor

49

0.32 49 \overline{∣ 16.00} \underline{0} 160 \underline{147} 130 \underline{98}

Subtract

98

from

130

0.32 49 \overline{∣ 16.00} \underline{0} 160 \underline{147} 130 \underline{98} 32

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

0.32 49 \overline{∣ 16.000} \underline{0} 160 \underline{147} 130 \underline{98} 320

0.32 49 \overline{∣ 16.000} \underline{0} 160 \underline{147} 130 \underline{98} 320

Divide

320

49

to get

6

Divide

320

49

to get

6

0.326 49 \overline{∣ 16.000} \underline{0} 160 \underline{147} 130 \underline{98} 320

Multiply the quotient digit

(6)

by the divisor

49

0.326 49 \overline{∣ 16.000} \underline{0} 160 \underline{147} 130 \underline{98} 320 \underline{294}

Subtract

294

from

320

0.326 49 \overline{∣ 16.000} \underline{0} 160 \underline{147} 130 \underline{98} 320 \underline{294} 26

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

0.326 49 \overline{∣ 16.0000} \underline{0} 160 \underline{147} 130 \underline{98} 320 \underline{294} 260

0.326 49 \overline{∣ 16.0000} \underline{0} 160 \underline{147} 130 \underline{98} 320 \underline{294} 260

Divide

260

49

to get

5

Divide

260

49

to get

5

0.3265 49 \overline{∣ 16.0000} \underline{0} 160 \underline{147} 130 \underline{98} 320 \underline{294} 260

Multiply the quotient digit

(5)

by the divisor

49

0.3265 49 \overline{∣ 16.0000} \underline{0} 160 \underline{147} 130 \underline{98} 320 \underline{294} 260 \underline{245}

Subtract

245

from

260

0.3265 49 \overline{∣ 16.0000} \underline{0} 160 \underline{147} 130 \underline{98} 320 \underline{294} 260 \underline{245} 15

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

0.3265 49 \overline{∣ 16.00000} \underline{0} 160 \underline{147} 130 \underline{98} 320 \underline{294} 260 \underline{245} 150

0.3265 49 \overline{∣ 16.00000} \underline{0} 160 \underline{147} 130 \underline{98} 320 \underline{294} 260 \underline{245} 150

Divide

150

49

to get

3

Divide

150

49

to get

3

0.32653 49 \overline{∣ 16.00000} \underline{0} 160 \underline{147} 130 \underline{98} 320 \underline{294} 260 \underline{245} 150

Multiply the quotient digit

(3)

by the divisor

49

0.32653 49 \overline{∣ 16.00000} \underline{0} 160 \underline{147} 130 \underline{98} 320 \underline{294} 260 \underline{245} 150 \underline{147}

Subtract

147

from

150

0.32653 49 \overline{∣ 16.00000} \underline{0} 160 \underline{147} 130 \underline{98} 320 \underline{294} 260 \underline{245} 150 \underline{147} 3

0.32653 49 \overline{∣ 16.00000} \underline{0} 160 \underline{147} 130 \underline{98} 320 \underline{294} 260 \underline{245} 150 \underline{147} 3

Stopping at 5 decimal places

The solution for Long Division of

\frac{16}{49}

0.32653 \dots

0.32653 \dots

0.32653 \dots

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Frequently Asked Questions (FAQ)

What is 16/49 ?
The solution to 16/49 is 0.32653…

Write the Fraction in Simplest Form 16/49

Solution

Solution

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Frequently Asked Questions (FAQ)

What is 16/49 ?

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