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Fraction to Decimal Calculator

Convert fractions to decimals step by step

The calculator will convert the given fraction (proper or improper) or mixed number into a decimal (possibly, repeating or recurring), with steps shown.

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Solution

Your input: convert 200027 into a decimal.

Write the problem in the special format:

74.074074272000

Step 1

How many 27's are in 2? The answer is 0.

Write down the calculated result in the upper part of the table.

Now, 2027=20=2.

Bring down the next digit of the dividend.

0074.074074272000.0000000000.00000lll0.lll20.

Step 2

How many 27's are in 20? The answer is 0.

Write down the calculated result in the upper part of the table.

Now, 20027=200=20.

Bring down the next digit of the dividend.

0074.074074272000.0000000000.00000lll0.lll20.0000.00000lll0.lll200.

Step 3

How many 27's are in 200? The answer is 7.

Write down the calculated result in the upper part of the table.

Now, 200727=200189=11.

Bring down the next digit of the dividend.

0074.074074272000.0000000000.00000lll0.lll20.0000.00000lll0.lll200.0000.00000lll189.lll110.

Step 4

How many 27's are in 110? The answer is 4.

Write down the calculated result in the upper part of the table.

Now, 110427=110108=2.

Bring down the next digit of the dividend.

0074.074074272000.0000000000.00000lll0.lll20.0000.00000lll0.lll200.0000.00000lll189.lll110.000.000000lll108.lll2.0

Step 5

How many 27's are in 20? The answer is 0.

Write down the calculated result in the upper part of the table.

Now, 20027=200=20.

Bring down the next digit of the dividend.

0074.074074272000.0000000000.00000lll0.lll20.0000.00000lll0.lll200.0000.00000lll189.lll110.000.000000lll108.lll2.00.000000lll.0lll2.00

Step 6

How many 27's are in 200? The answer is 7.

Write down the calculated result in the upper part of the table.

Now, 200727=200189=11.

Bring down the next digit of the dividend.

0074.074074272000.0000000000.00000lll0.lll20.0000.00000lll0.lll200.0000.00000lll189.lll110.000.000000lll108.lll2.00.000000lll.0lll2.000.000000lll1.89lll110

Step 7

How many 27's are in 110? The answer is 4.

Write down the calculated result in the upper part of the table.

Now, 110427=110108=2.

Bring down the next digit of the dividend.

0074.074074272000.0000000000.00000lll0.lll20.0000.00000lll0.lll200.0000.00000lll189.lll110.000.000000lll108.lll2.00.000000lll.0lll2.000.000000lll1.89lll110000000lll108lll20

Step 8

How many 27's are in 20? The answer is 0.

Write down the calculated result in the upper part of the table.

Now, 20027=200=20.

Bring down the next digit of the dividend.

0074.074074272000.0000000000.00000lll0.lll20.0000.00000lll0.lll200.0000.00000lll189.lll110.000.000000lll108.lll2.00.000000lll.0lll2.000.000000lll1.89lll110000000lll108lll200000lll0lll200

Step 9

How many 27's are in 200? The answer is 7.

Write down the calculated result in the upper part of the table.

Now, 200727=200189=11.

Bring down the next digit of the dividend.

0074.074074272000.0000000000.00000lll0.lll20.0000.00000lll0.lll200.0000.00000lll189.lll110.000.000000lll108.lll2.00.000000lll.0lll2.000.000000lll1.89lll110000000lll108lll200000lll0lll2000000lll189lll110

Step 10

How many 27's are in 110? The answer is 4.

Write down the calculated result in the upper part of the table.

Now, 110427=110108=2.

0074.074074272000.0000000000.00000lll0.lll20.0000.00000lll0.lll200.0000.00000lll189.lll110.000.000000lll108.lll2.00.000000lll.0lll2.000.000000lll1.89lll110000000lll108lll200000lll0lll2000000lll189lll110000lll108lll2

As can be seen, the digits are repeating with some period, therefore it is a repeating (or recurring) decimal: 200027=74.¯074

Answer: 200027=74.¯074