Processing math: 88%

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.

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 340056 into a decimal.

Write the problem in the special format:

60.714285714285714563400

Step 1

How many 56's are in 3? The answer is 0.

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

Now, 3056=30=3.

Bring down the next digit of the dividend.

0060.714285714285714563400.0000000000000004000.00000000000000lll0.lll34.

Step 2

How many 56's are in 34? The answer is 0.

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

Now, 34056=340=34.

Bring down the next digit of the dividend.

0060.714285714285714563400.0000000000000004000.00000000000000lll0.lll34.4000.00000000000000lll0.lll340.

Step 3

How many 56's are in 340? The answer is 6.

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

Now, 340656=340336=4.

Bring down the next digit of the dividend.

0060.714285714285714563400.0000000000000004000.00000000000000lll0.lll34.4000.00000000000000lll0.lll340.4000.00000000000000lll336.lll40.

Step 4

How many 56's are in 40? The answer is 0.

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

Now, 40056=400=40.

Bring down the next digit of the dividend.

0060.714285714285714563400.0000000000000004000.00000000000000lll0.lll34.4000.00000000000000lll0.lll340.4000.00000000000000lll336.lll40.00.000000000000000lll0.lll40.0

Step 5

How many 56's are in 400? The answer is 7.

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

Now, 400756=400392=8.

Bring down the next digit of the dividend.

0060.714285714285714563400.0000000000000004000.00000000000000lll0.lll34.4000.00000000000000lll0.lll340.4000.00000000000000lll336.lll40.00.000000000000000lll0.lll40.000.000000000000000lll39.2lll80

Step 6

How many 56's are in 80? The answer is 1.

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

Now, 80156=8056=24.

Bring down the next digit of the dividend.

0060.714285714285714563400.0000000000000004000.00000000000000lll0.lll34.4000.00000000000000lll0.lll340.4000.00000000000000lll336.lll40.00.000000000000000lll0.lll40.000.000000000000000lll39.2lll80000000000000000lll56lll240

Step 7

How many 56's are in 240? The answer is 4.

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

Now, 240456=240224=16.

Bring down the next digit of the dividend.

0060.714285714285714563400.0000000000000004000.00000000000000lll0.lll34.4000.00000000000000lll0.lll340.4000.00000000000000lll336.lll40.00.000000000000000lll0.lll40.000.000000000000000lll39.2lll80000000000000000lll56lll240000000000000000lll224lll160

Step 8

How many 56's are in 160? The answer is 2.

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

Now, 160256=160112=48.

Bring down the next digit of the dividend.

0060.714285714285714563400.0000000000000004000.00000000000000lll0.lll34.4000.00000000000000lll0.lll340.4000.00000000000000lll336.lll40.00.000000000000000lll0.lll40.000.000000000000000lll39.2lll80000000000000000lll56lll240000000000000000lll224lll16000000000000000lll112lll480

Step 9

How many 56's are in 480? The answer is 8.

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

Now, 480856=480448=32.

Bring down the next digit of the dividend.

0060.714285714285714563400.0000000000000004000.00000000000000lll0.lll34.4000.00000000000000lll0.lll340.4000.00000000000000lll336.lll40.00.000000000000000lll0.lll40.000.000000000000000lll39.2lll80000000000000000lll56lll240000000000000000lll224lll16000000000000000lll112lll4800000000000000lll448lll320

Step 10

How many 56's are in 320? The answer is 5.

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

Now, 320556=320280=40.

Bring down the next digit of the dividend.

0060.714285714285714563400.0000000000000004000.00000000000000lll0.lll34.4000.00000000000000lll0.lll340.4000.00000000000000lll336.lll40.00.000000000000000lll0.lll40.000.000000000000000lll39.2lll80000000000000000lll56lll240000000000000000lll224lll16000000000000000lll112lll4800000000000000lll448lll320000000000000lll280lll400

Step 11

How many 56's are in 400? The answer is 7.

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

Now, 400756=400392=8.

Bring down the next digit of the dividend.

0060.714285714285714563400.0000000000000004000.00000000000000lll0.lll34.4000.00000000000000lll0.lll340.4000.00000000000000lll336.lll40.00.000000000000000lll0.lll40.000.000000000000000lll39.2lll80000000000000000lll56lll240000000000000000lll224lll16000000000000000lll112lll4800000000000000lll448lll320000000000000lll280lll40000000000000lll392lll80

Step 12

How many 56's are in 80? The answer is 1.

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

Now, 80156=8056=24.

Bring down the next digit of the dividend.

0060.714285714285714563400.0000000000000004000.00000000000000lll0.lll34.4000.00000000000000lll0.lll340.4000.00000000000000lll336.lll40.00.000000000000000lll0.lll40.000.000000000000000lll39.2lll80000000000000000lll56lll240000000000000000lll224lll16000000000000000lll112lll4800000000000000lll448lll320000000000000lll280lll40000000000000lll392lll80000000000lll56lll240

Step 13

How many 56's are in 240? The answer is 4.

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

Now, 240456=240224=16.

Bring down the next digit of the dividend.

0060.714285714285714563400.0000000000000004000.00000000000000lll0.lll34.4000.00000000000000lll0.lll340.4000.00000000000000lll336.lll40.00.000000000000000lll0.lll40.000.000000000000000lll39.2lll80000000000000000lll56lll240000000000000000lll224lll16000000000000000lll112lll4800000000000000lll448lll320000000000000lll280lll40000000000000lll392lll80000000000lll56lll240000000000lll224lll160

Step 14

How many 56's are in 160? The answer is 2.

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

Now, 160256=160112=48.

Bring down the next digit of the dividend.

0060.714285714285714563400.0000000000000004000.00000000000000lll0.lll34.4000.00000000000000lll0.lll340.4000.00000000000000lll336.lll40.00.000000000000000lll0.lll40.000.000000000000000lll39.2lll80000000000000000lll56lll240000000000000000lll224lll16000000000000000lll112lll4800000000000000lll448lll320000000000000lll280lll40000000000000lll392lll80000000000lll56lll240000000000lll224lll16000000000lll112lll480

Step 15

How many 56's are in 480? The answer is 8.

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

Now, 480856=480448=32.

Bring down the next digit of the dividend.

0060.714285714285714563400.0000000000000004000.00000000000000lll0.lll34.4000.00000000000000lll0.lll340.4000.00000000000000lll336.lll40.00.000000000000000lll0.lll40.000.000000000000000lll39.2lll80000000000000000lll56lll240000000000000000lll224lll16000000000000000lll112lll4800000000000000lll448lll320000000000000lll280lll40000000000000lll392lll80000000000lll56lll240000000000lll224lll16000000000lll112lll4800000000lll448lll320

Step 16

How many 56's are in 320? The answer is 5.

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

Now, 320556=320280=40.

Bring down the next digit of the dividend.

0060.714285714285714563400.0000000000000004000.00000000000000lll0.lll34.4000.00000000000000lll0.lll340.4000.00000000000000lll336.lll40.00.000000000000000lll0.lll40.000.000000000000000lll39.2lll80000000000000000lll56lll240000000000000000lll224lll16000000000000000lll112lll4800000000000000lll448lll320000000000000lll280lll40000000000000lll392lll80000000000lll56lll240000000000lll224lll16000000000lll112lll4800000000lll448lll320000000lll280lll400

Step 17

How many 56's are in 400? The answer is 7.

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

Now, 400756=400392=8.

Bring down the next digit of the dividend.

0060.714285714285714563400.0000000000000004000.00000000000000lll0.lll34.4000.00000000000000lll0.lll340.4000.00000000000000lll336.lll40.00.000000000000000lll0.lll40.000.000000000000000lll39.2lll80000000000000000lll56lll240000000000000000lll224lll16000000000000000lll112lll4800000000000000lll448lll320000000000000lll280lll40000000000000lll392lll80000000000lll56lll240000000000lll224lll16000000000lll112lll4800000000lll448lll320000000lll280lll40000000lll392lll80

Step 18

How many 56's are in 80? The answer is 1.

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

Now, 80-1 \cdot 56 = 80 - 56= 24.

Bring down the next digit of the dividend.

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Step 19

How many 56's are in 240? The answer is 4.

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

Now, 240-4 \cdot 56 = 240 - 224= 16.

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As can be seen, the digits are repeating with some period, therefore it is a repeating (or recurring) decimal: \frac{3400}{56}=60.714 \overline{285714}

Answer: \frac{3400}{56}=60.714\overline{285714}