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Calculadora de fracción a decimal

Convertir fracciones en decimales paso a paso

La calculadora convertirá la fracción dada (propia o impropia) o el número mixto en un decimal (posiblemente, repetitivo o recurrente), con los pasos mostrados.

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 390042 into a decimal.

Write the problem in the special format:

92.8571428571428423900

Step 1

How many 42's are in 3? The answer is 0.

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

Now, 3042=30=3.

Bring down the next digit of the dividend.

0092.8571428571428423900.00000000000009000.000000000000lll0.lll39.

Step 2

How many 42's are in 39? The answer is 0.

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

Now, 39042=390=39.

Bring down the next digit of the dividend.

0092.8571428571428423900.00000000000009000.000000000000lll0.lll39.9000.000000000000lll0.lll390.

Step 3

How many 42's are in 390? The answer is 9.

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

Now, 390942=390378=12.

Bring down the next digit of the dividend.

0092.8571428571428423900.00000000000009000.000000000000lll0.lll39.9000.000000000000lll0.lll390.9000.000000000000lll378.lll120.

Step 4

How many 42's are in 120? The answer is 2.

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

Now, 120242=12084=36.

Bring down the next digit of the dividend.

0092.8571428571428423900.00000000000009000.000000000000lll0.lll39.9000.000000000000lll0.lll390.9000.000000000000lll378.lll120.900.0000000000000lll84.lll36.0

Step 5

How many 42's are in 360? The answer is 8.

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

Now, 360842=360336=24.

Bring down the next digit of the dividend.

0092.8571428571428423900.00000000000009000.000000000000lll0.lll39.9000.000000000000lll0.lll390.9000.000000000000lll378.lll120.900.0000000000000lll84.lll36.000.0000000000000lll33.6lll2.40

Step 6

How many 42's are in 240? The answer is 5.

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

Now, 240542=240210=30.

Bring down the next digit of the dividend.

0092.8571428571428423900.00000000000009000.000000000000lll0.lll39.9000.000000000000lll0.lll390.9000.000000000000lll378.lll120.900.0000000000000lll84.lll36.000.0000000000000lll33.6lll2.400.0000000000000lll2.10lll300

Step 7

How many 42's are in 300? The answer is 7.

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

Now, 300742=300294=6.

Bring down the next digit of the dividend.

0092.8571428571428423900.00000000000009000.000000000000lll0.lll39.9000.000000000000lll0.lll390.9000.000000000000lll378.lll120.900.0000000000000lll84.lll36.000.0000000000000lll33.6lll2.400.0000000000000lll2.10lll3000000000000000lll294lll60

Step 8

How many 42's are in 60? The answer is 1.

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

Now, 60142=6042=18.

Bring down the next digit of the dividend.

0092.8571428571428423900.00000000000009000.000000000000lll0.lll39.9000.000000000000lll0.lll390.9000.000000000000lll378.lll120.900.0000000000000lll84.lll36.000.0000000000000lll33.6lll2.400.0000000000000lll2.10lll3000000000000000lll294lll6000000000000lll42lll180

Step 9

How many 42's are in 180? The answer is 4.

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

Now, 180442=180168=12.

Bring down the next digit of the dividend.

0092.8571428571428423900.00000000000009000.000000000000lll0.lll39.9000.000000000000lll0.lll390.9000.000000000000lll378.lll120.900.0000000000000lll84.lll36.000.0000000000000lll33.6lll2.400.0000000000000lll2.10lll3000000000000000lll294lll6000000000000lll42lll18000000000000lll168lll120

Step 10

How many 42's are in 120? The answer is 2.

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

Now, 120242=12084=36.

Bring down the next digit of the dividend.

0092.8571428571428423900.00000000000009000.000000000000lll0.lll39.9000.000000000000lll0.lll390.9000.000000000000lll378.lll120.900.0000000000000lll84.lll36.000.0000000000000lll33.6lll2.400.0000000000000lll2.10lll3000000000000000lll294lll6000000000000lll42lll18000000000000lll168lll1200000000000lll84lll360

Step 11

How many 42's are in 360? The answer is 8.

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

Now, 360842=360336=24.

Bring down the next digit of the dividend.

0092.8571428571428423900.00000000000009000.000000000000lll0.lll39.9000.000000000000lll0.lll390.9000.000000000000lll378.lll120.900.0000000000000lll84.lll36.000.0000000000000lll33.6lll2.400.0000000000000lll2.10lll3000000000000000lll294lll6000000000000lll42lll18000000000000lll168lll1200000000000lll84lll360000000000lll336lll240

Step 12

How many 42's are in 240? The answer is 5.

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

Now, 240542=240210=30.

Bring down the next digit of the dividend.

0092.8571428571428423900.00000000000009000.000000000000lll0.lll39.9000.000000000000lll0.lll390.9000.000000000000lll378.lll120.900.0000000000000lll84.lll36.000.0000000000000lll33.6lll2.400.0000000000000lll2.10lll3000000000000000lll294lll6000000000000lll42lll18000000000000lll168lll1200000000000lll84lll360000000000lll336lll24000000000lll210lll300

Step 13

How many 42's are in 300? The answer is 7.

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

Now, 300742=300294=6.

Bring down the next digit of the dividend.

0092.8571428571428423900.00000000000009000.000000000000lll0.lll39.9000.000000000000lll0.lll390.9000.000000000000lll378.lll120.900.0000000000000lll84.lll36.000.0000000000000lll33.6lll2.400.0000000000000lll2.10lll3000000000000000lll294lll6000000000000lll42lll18000000000000lll168lll1200000000000lll84lll360000000000lll336lll24000000000lll210lll3000000000lll294lll60

Step 14

How many 42's are in 60? The answer is 1.

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

Now, 60142=6042=18.

Bring down the next digit of the dividend.

0092.8571428571428423900.00000000000009000.000000000000lll0.lll39.9000.000000000000lll0.lll390.9000.000000000000lll378.lll120.900.0000000000000lll84.lll36.000.0000000000000lll33.6lll2.400.0000000000000lll2.10lll3000000000000000lll294lll6000000000000lll42lll18000000000000lll168lll1200000000000lll84lll360000000000lll336lll24000000000lll210lll3000000000lll294lll6000000lll42lll180

Step 15

How many 42's are in 180? The answer is 4.

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

Now, 180442=180168=12.

Bring down the next digit of the dividend.

0092.8571428571428423900.00000000000009000.000000000000lll0.lll39.9000.000000000000lll0.lll390.9000.000000000000lll378.lll120.900.0000000000000lll84.lll36.000.0000000000000lll33.6lll2.400.0000000000000lll2.10lll3000000000000000lll294lll6000000000000lll42lll18000000000000lll168lll1200000000000lll84lll360000000000lll336lll24000000000lll210lll3000000000lll294lll6000000lll42lll18000000lll168lll120

Step 16

How many 42's are in 120? The answer is 2.

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

Now, 120242=12084=36.

Bring down the next digit of the dividend.

0092.8571428571428423900.00000000000009000.000000000000lll0.lll39.9000.000000000000lll0.lll390.9000.000000000000lll378.lll120.900.0000000000000lll84.lll36.000.0000000000000lll33.6lll2.400.0000000000000lll2.10lll3000000000000000lll294lll6000000000000lll42lll18000000000000lll168lll1200000000000lll84lll360000000000lll336lll24000000000lll210lll3000000000lll294lll6000000lll42lll18000000lll168lll1200000lll84lll360

Step 17

How many 42's are in 360? The answer is 8.

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

Now, 360-8 \cdot 42 = 360 - 336= 24.

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As can be seen, the digits are repeating with some period, therefore it is a repeating (or recurring) decimal: \frac{3900}{42}=92.8 \overline{571428}

Answer: \frac{3900}{42}=92.8\overline{571428}