Калькулятор переведення дробів у десяткові дроби

Покрокове перетворення дробів у десяткові

Калькулятор перетворить заданий дріб (правильний або неправильний) або мішане число в десятковий дріб (можливо, повторюваний або періодичний), з показаними кроками.

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Solution

Your input: convert 40011 into a decimal.

Write the problem in the special format:

36.363611400

Step 1

How many 11's are in 4? The answer is 0.

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

Now, 4011=40=4.

Bring down the next digit of the dividend.

036.363611400.0000000.000lll0.lll40.

Step 2

How many 11's are in 40? The answer is 3.

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

Now, 40311=4033=7.

Bring down the next digit of the dividend.

036.363611400.0000000.000lll0.lll40.000.000lll33.lll70.

Step 3

How many 11's are in 70? The answer is 6.

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

Now, 70611=7066=4.

Bring down the next digit of the dividend.

036.363611400.0000000.000lll0.lll40.000.000lll33.lll70.00.0000lll66.lll4.0

Step 4

How many 11's are in 40? The answer is 3.

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

Now, 40311=4033=7.

Bring down the next digit of the dividend.

036.363611400.0000000.000lll0.lll40.000.000lll33.lll70.00.0000lll66.lll4.00.0000lll3.3lll70

Step 5

How many 11's are in 70? The answer is 6.

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

Now, 70611=7066=4.

Bring down the next digit of the dividend.

036.363611400.0000000.000lll0.lll40.000.000lll33.lll70.00.0000lll66.lll4.00.0000lll3.3lll700000lll66lll40

Step 6

How many 11's are in 40? The answer is 3.

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

Now, 40311=4033=7.

Bring down the next digit of the dividend.

036.363611400.0000000.000lll0.lll40.000.000lll33.lll70.00.0000lll66.lll4.00.0000lll3.3lll700000lll66lll40000lll33lll70

Step 7

How many 11's are in 70? The answer is 6.

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

Now, 70611=7066=4.

036.363611400.0000000.000lll0.lll40.000.000lll33.lll70.00.0000lll66.lll4.00.0000lll3.3lll700000lll66lll40000lll33lll7000lll66lll4

As can be seen, the digits are repeating with some period, therefore it is a repeating (or recurring) decimal: 40011=36.¯36

Answer: 40011=36.¯36