Loading [MathJax]/jax/output/HTML-CSS/fonts/TeX/fontdata.js

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

If you don't need a mixed number, leave the left cell empty.
If you need a negative fraction, write the minus sign in the left cell.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please contact us.

Solution

Your input: convert 320055 into a decimal.

Write the problem in the special format:

58.18181553200

Step 1

How many 55's are in 3? The answer is 0.

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

Now, 3055=30=3.

Bring down the next digit of the dividend.

0058.18181553200.000002000.0000lll0.lll32.

Step 2

How many 55's are in 32? The answer is 0.

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

Now, 32055=320=32.

Bring down the next digit of the dividend.

0058.18181553200.000002000.0000lll0.lll32.2000.0000lll0.lll320.

Step 3

How many 55's are in 320? The answer is 5.

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

Now, 320555=320275=45.

Bring down the next digit of the dividend.

0058.18181553200.000002000.0000lll0.lll32.2000.0000lll0.lll320.2000.0000lll275.lll450.

Step 4

How many 55's are in 450? The answer is 8.

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

Now, 450855=450440=10.

Bring down the next digit of the dividend.

0058.18181553200.000002000.0000lll0.lll32.2000.0000lll0.lll320.2000.0000lll275.lll450.200.00000lll440.lll10.0

Step 5

How many 55's are in 100? The answer is 1.

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

Now, 100155=10055=45.

Bring down the next digit of the dividend.

0058.18181553200.000002000.0000lll0.lll32.2000.0000lll0.lll320.2000.0000lll275.lll450.200.00000lll440.lll10.000.00000lll.55lll4.50

Step 6

How many 55's are in 450? The answer is 8.

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

Now, 450855=450440=10.

Bring down the next digit of the dividend.

0058.18181553200.000002000.0000lll0.lll32.2000.0000lll0.lll320.2000.0000lll275.lll450.200.00000lll440.lll10.000.00000lll.55lll4.500.00000lll4.40lll100

Step 7

How many 55's are in 100? The answer is 1.

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

Now, 100155=10055=45.

Bring down the next digit of the dividend.

0058.18181553200.000002000.0000lll0.lll32.2000.0000lll0.lll320.2000.0000lll275.lll450.200.00000lll440.lll10.000.00000lll.55lll4.500.00000lll4.40lll10000000lll55lll450

Step 8

How many 55's are in 450? The answer is 8.

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

Now, 450855=450440=10.

Bring down the next digit of the dividend.

0058.18181553200.000002000.0000lll0.lll32.2000.0000lll0.lll320.2000.0000lll275.lll450.200.00000lll440.lll10.000.00000lll.55lll4.500.00000lll4.40lll10000000lll55lll4500000lll440lll100

Step 9

How many 55's are in 100? The answer is 1.

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

Now, 100155=10055=45.

0058.18181553200.000002000.0000lll0.lll32.2000.0000lll0.lll320.2000.0000lll275.lll450.200.00000lll440.lll10.000.00000lll.55lll4.500.00000lll4.40lll10000000lll55lll4500000lll440lll100000lll55lll45

As can be seen, the digits are repeating with some period, therefore it is a repeating (or recurring) decimal: 320055=58.1¯81

Answer: 320055=58.1¯81