The solution to 5/24 is 0.20833…

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Popular Pre Algebra >

Write the Fraction in Simplest Form 5/24

Solution

\frac{5}{24}

Solution

0.20833 \dots

Solution steps

Convert

\frac{5}{24}

to decimal by applying long division

Long Division

\frac{5}{24} : 0.20833 \dots

\frac{5}{24}

Divide

5

24

to get

0

Divide

5

24

to get

0

0 24 \overline{∣ 5}

Multiply the quotient digit

(0)

by the divisor

24

0 24 \overline{∣ 5} \underline{0}

Subtract

0

from

5

0 24 \overline{∣ 5} \underline{0} 5

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

0. 24 \overline{∣ 5.0} \underline{0} 50

0. 24 \overline{∣ 5.0} \underline{0} 50

Divide

50

24

to get

2

Divide

50

24

to get

2

0.2 24 \overline{∣ 5.0} \underline{0} 50

Multiply the quotient digit

(2)

by the divisor

24

0.2 24 \overline{∣ 5.0} \underline{0} 50 \underline{48}

Subtract

48

from

50

0.2 24 \overline{∣ 5.0} \underline{0} 50 \underline{48} 2

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

0.2 24 \overline{∣ 5.00} \underline{0} 50 \underline{48} 20

0.2 24 \overline{∣ 5.00} \underline{0} 50 \underline{48} 20

Divide

20

24

to get

0

Divide

20

24

to get

0

0.20 24 \overline{∣ 5.00} \underline{0} 50 \underline{48} 20

Multiply the quotient digit

(0)

by the divisor

24

0.20 24 \overline{∣ 5.00} \underline{0} 50 \underline{48} 20 \underline{0}

Subtract

0

from

20

0.20 24 \overline{∣ 5.00} \underline{0} 50 \underline{48} 20 \underline{0} 20

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

0.20 24 \overline{∣ 5.000} \underline{0} 50 \underline{48} 20 \underline{0} 200

0.20 24 \overline{∣ 5.000} \underline{0} 50 \underline{48} 20 \underline{0} 200

Divide

200

24

to get

8

Divide

200

24

to get

8

0.208 24 \overline{∣ 5.000} \underline{0} 50 \underline{48} 20 \underline{0} 200

Multiply the quotient digit

(8)

by the divisor

24

0.208 24 \overline{∣ 5.000} \underline{0} 50 \underline{48} 20 \underline{0} 200 \underline{192}

Subtract

192

from

200

0.208 24 \overline{∣ 5.000} \underline{0} 50 \underline{48} 20 \underline{0} 200 \underline{192} 8

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

0.208 24 \overline{∣ 5.0000} \underline{0} 50 \underline{48} 20 \underline{0} 200 \underline{192} 80

0.208 24 \overline{∣ 5.0000} \underline{0} 50 \underline{48} 20 \underline{0} 200 \underline{192} 80

Divide

80

24

to get

3

Divide

80

24

to get

3

0.2083 24 \overline{∣ 5.0000} \underline{0} 50 \underline{48} 20 \underline{0} 200 \underline{192} 80

Multiply the quotient digit

(3)

by the divisor

24

0.2083 24 \overline{∣ 5.0000} \underline{0} 50 \underline{48} 20 \underline{0} 200 \underline{192} 80 \underline{72}

Subtract

72

from

80

0.2083 24 \overline{∣ 5.0000} \underline{0} 50 \underline{48} 20 \underline{0} 200 \underline{192} 80 \underline{72} 8

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

0.2083 24 \overline{∣ 5.00000} \underline{0} 50 \underline{48} 20 \underline{0} 200 \underline{192} 80 \underline{72} 80

0.2083 24 \overline{∣ 5.00000} \underline{0} 50 \underline{48} 20 \underline{0} 200 \underline{192} 80 \underline{72} 80

Divide

80

24

to get

3

Divide

80

24

to get

3

0.20833 24 \overline{∣ 5.00000} \underline{0} 50 \underline{48} 20 \underline{0} 200 \underline{192} 80 \underline{72} 80

Multiply the quotient digit

(3)

by the divisor

24

0.20833 24 \overline{∣ 5.00000} \underline{0} 50 \underline{48} 20 \underline{0} 200 \underline{192} 80 \underline{72} 80 \underline{72}

Subtract

72

from

80

0.20833 24 \overline{∣ 5.00000} \underline{0} 50 \underline{48} 20 \underline{0} 200 \underline{192} 80 \underline{72} 80 \underline{72} 8

0.20833 24 \overline{∣ 5.00000} \underline{0} 50 \underline{48} 20 \underline{0} 200 \underline{192} 80 \underline{72} 80 \underline{72} 8

Stopping at 5 decimal places

The solution for Long Division of

\frac{5}{24}

0.20833 \dots

0.20833 \dots

0.20833 \dots

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Frequently Asked Questions (FAQ)

What is 5/24 ?
The solution to 5/24 is 0.20833…

Write the Fraction in Simplest Form 5/24

Solution

Solution

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Frequently Asked Questions (FAQ)

What is 5/24 ?

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