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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.

Enter a fraction or

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If you need a negative fraction, write the minus sign in the left cell.

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Solution

Your input: convert 210030 into a decimal.

Write the problem in the special format:

70.0302100

Step 1

How many 30's are in 2? The answer is 0.

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

Now, 2030=20=2.

Bring down the next digit of the dividend.

0070.0302100.01000.lll0.lll21.

Step 2

How many 30's are in 21? The answer is 0.

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

Now, 21030=210=21.

Bring down the next digit of the dividend.

0070.0302100.01000.lll0.lll21.1000.lll0.lll210.

Step 3

How many 30's are in 210? The answer is 7.

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

Now, 210730=210210=0.

Bring down the next digit of the dividend.

0070.0302100.01000.lll0.lll21.1000.lll0.lll210.1000.lll210.lll00.

Step 4

How many 30's are in 0? The answer is 0.

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

Now, 0030=00=0.

Bring down the next digit of the dividend.

0070.0302100.01000.lll0.lll21.1000.lll0.lll210.1000.lll210.lll00.00.0lll0.lll0.0

Step 5

How many 30's are in 0? The answer is 0.

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

Now, 0030=00=0.

0070.0302100.01000.lll0.lll21.1000.lll0.lll210.1000.lll210.lll00.00.0lll0.lll0.00.0lll.0lll0

As can be seen, the digits are repeating with some period, therefore it is a repeating (or recurring) decimal: 210030=70.¯0

Answer: 210030=70.¯0