The solution to 25/64 is 0.39062…

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Popular Pre Algebra >

Write the Fraction in Simplest Form 25/64

Solution

\frac{25}{64}

Solution

0.39062 \dots

Solution steps

Convert

\frac{25}{64}

to decimal by applying long division

Long Division

\frac{25}{64} : 0.39062 \dots

\frac{25}{64}

Divide

25

64

to get

0

Divide

25

64

to get

0

0 64 \overline{∣ 25}

Multiply the quotient digit

(0)

by the divisor

64

0 64 \overline{∣ 25} \underline{0}

Subtract

0

from

25

0 64 \overline{∣ 25} \underline{0} 25

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

0. 64 \overline{∣ 25.0} \underline{0} 250

0. 64 \overline{∣ 25.0} \underline{0} 250

Divide

250

64

to get

3

Divide

250

64

to get

3

0.3 64 \overline{∣ 25.0} \underline{0} 250

Multiply the quotient digit

(3)

by the divisor

64

0.3 64 \overline{∣ 25.0} \underline{0} 250 \underline{192}

Subtract

192

from

250

0.3 64 \overline{∣ 25.0} \underline{0} 250 \underline{192} 58

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

0.3 64 \overline{∣ 25.00} \underline{0} 250 \underline{192} 580

0.3 64 \overline{∣ 25.00} \underline{0} 250 \underline{192} 580

Divide

580

64

to get

9

Divide

580

64

to get

9

0.39 64 \overline{∣ 25.00} \underline{0} 250 \underline{192} 580

Multiply the quotient digit

(9)

by the divisor

64

0.39 64 \overline{∣ 25.00} \underline{0} 250 \underline{192} 580 \underline{576}

Subtract

576

from

580

0.39 64 \overline{∣ 25.00} \underline{0} 250 \underline{192} 580 \underline{576} 4

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

0.39 64 \overline{∣ 25.000} \underline{0} 250 \underline{192} 580 \underline{576} 40

0.39 64 \overline{∣ 25.000} \underline{0} 250 \underline{192} 580 \underline{576} 40

Divide

40

64

to get

0

Divide

40

64

to get

0

0.390 64 \overline{∣ 25.000} \underline{0} 250 \underline{192} 580 \underline{576} 40

Multiply the quotient digit

(0)

by the divisor

64

0.390 64 \overline{∣ 25.000} \underline{0} 250 \underline{192} 580 \underline{576} 40 \underline{0}

Subtract

0

from

40

0.390 64 \overline{∣ 25.000} \underline{0} 250 \underline{192} 580 \underline{576} 40 \underline{0} 40

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

0.390 64 \overline{∣ 25.0000} \underline{0} 250 \underline{192} 580 \underline{576} 40 \underline{0} 400

0.390 64 \overline{∣ 25.0000} \underline{0} 250 \underline{192} 580 \underline{576} 40 \underline{0} 400

Divide

400

64

to get

6

Divide

400

64

to get

6

0.3906 64 \overline{∣ 25.0000} \underline{0} 250 \underline{192} 580 \underline{576} 40 \underline{0} 400

Multiply the quotient digit

(6)

by the divisor

64

0.3906 64 \overline{∣ 25.0000} \underline{0} 250 \underline{192} 580 \underline{576} 40 \underline{0} 400 \underline{384}

Subtract

384

from

400

0.3906 64 \overline{∣ 25.0000} \underline{0} 250 \underline{192} 580 \underline{576} 40 \underline{0} 400 \underline{384} 16

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

0.3906 64 \overline{∣ 25.00000} \underline{0} 250 \underline{192} 580 \underline{576} 40 \underline{0} 400 \underline{384} 160

0.3906 64 \overline{∣ 25.00000} \underline{0} 250 \underline{192} 580 \underline{576} 40 \underline{0} 400 \underline{384} 160

Divide

160

64

to get

2

Divide

160

64

to get

2

0.39062 64 \overline{∣ 25.00000} \underline{0} 250 \underline{192} 580 \underline{576} 40 \underline{0} 400 \underline{384} 160

Multiply the quotient digit

(2)

by the divisor

64

0.39062 64 \overline{∣ 25.00000} \underline{0} 250 \underline{192} 580 \underline{576} 40 \underline{0} 400 \underline{384} 160 \underline{128}

Subtract

128

from

160

0.39062 64 \overline{∣ 25.00000} \underline{0} 250 \underline{192} 580 \underline{576} 40 \underline{0} 400 \underline{384} 160 \underline{128} 32

0.39062 64 \overline{∣ 25.00000} \underline{0} 250 \underline{192} 580 \underline{576} 40 \underline{0} 400 \underline{384} 160 \underline{128} 32

Stopping at 5 decimal places

The solution for Long Division of

\frac{25}{64}

0.39062 \dots

0.39062 \dots

0.39062 \dots

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Frequently Asked Questions (FAQ)

What is 25/64 ?
The solution to 25/64 is 0.39062…

Write the Fraction in Simplest Form 25/64

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 25/64 ?

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