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.
Solution
Your input: convert 390042 into a decimal.
Write the problem in the special format:
−92.857142857142842−3900
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, 3−0⋅42=3−0=3.
Bring down the next digit of the dividend.
−0092.857142857142842−39↓00.0000000000000−9000.000000000000lll0.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, 39−0⋅42=39−0=39.
Bring down the next digit of the dividend.
−0092.857142857142842−390↓0.0000000000000−9000.000000000000lll0.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, 390−9⋅42=390−378=12.
Bring down the next digit of the dividend.
−0092.857142857142842−3900↓.0000000000000−9000.000000000000lll0.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, 120−2⋅42=120−84=36.
Bring down the next digit of the dividend.
−0092.857142857142842−3900.0↓000000000000−9000.000000000000lll0.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, 360−8⋅42=360−336=24.
Bring down the next digit of the dividend.
−0092.857142857142842−3900.00↓00000000000−9000.000000000000lll0.lll39.−9000.000000000000lll0.lll390.−9000.000000000000lll378.lll120.−900.0000000000000lll84.lll36.0−00.0000000000000lll33.6lll2.40
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, 240−5⋅42=240−210=30.
Bring down the next digit of the dividend.
−0092.857142857142842−3900.000↓0000000000−9000.000000000000lll0.lll39.−9000.000000000000lll0.lll390.−9000.000000000000lll378.lll120.−900.0000000000000lll84.lll36.0−00.0000000000000lll33.6lll2.40−0.0000000000000lll2.10lll300
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, 300−7⋅42=300−294=6.
Bring down the next digit of the dividend.
−0092.857142857142842−3900.0000↓000000000−9000.000000000000lll0.lll39.−9000.000000000000lll0.lll390.−9000.000000000000lll378.lll120.−900.0000000000000lll84.lll36.0−00.0000000000000lll33.6lll2.40−0.0000000000000lll2.10lll300−0000000000000lll294lll60
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, 60−1⋅42=60−42=18.
Bring down the next digit of the dividend.
−0092.857142857142842−3900.00000↓00000000−9000.000000000000lll0.lll39.−9000.000000000000lll0.lll390.−9000.000000000000lll378.lll120.−900.0000000000000lll84.lll36.0−00.0000000000000lll33.6lll2.40−0.0000000000000lll2.10lll300−0000000000000lll294lll60−00000000000lll42lll180
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, 180−4⋅42=180−168=12.
Bring down the next digit of the dividend.
−0092.857142857142842−3900.000000↓0000000−9000.000000000000lll0.lll39.−9000.000000000000lll0.lll390.−9000.000000000000lll378.lll120.−900.0000000000000lll84.lll36.0−00.0000000000000lll33.6lll2.40−0.0000000000000lll2.10lll300−0000000000000lll294lll60−00000000000lll42lll180−00000000000lll168lll120
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, 120−2⋅42=120−84=36.
Bring down the next digit of the dividend.
−0092.857142857142842−3900.0000000↓000000−9000.000000000000lll0.lll39.−9000.000000000000lll0.lll390.−9000.000000000000lll378.lll120.−900.0000000000000lll84.lll36.0−00.0000000000000lll33.6lll2.40−0.0000000000000lll2.10lll300−0000000000000lll294lll60−00000000000lll42lll180−00000000000lll168lll120−0000000000lll84lll360
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, 360−8⋅42=360−336=24.
Bring down the next digit of the dividend.
−0092.857142857142842−3900.00000000↓00000−9000.000000000000lll0.lll39.−9000.000000000000lll0.lll390.−9000.000000000000lll378.lll120.−900.0000000000000lll84.lll36.0−00.0000000000000lll33.6lll2.40−0.0000000000000lll2.10lll300−0000000000000lll294lll60−00000000000lll42lll180−00000000000lll168lll120−0000000000lll84lll360−000000000lll336lll240
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, 240−5⋅42=240−210=30.
Bring down the next digit of the dividend.
−0092.857142857142842−3900.000000000↓0000−9000.000000000000lll0.lll39.−9000.000000000000lll0.lll390.−9000.000000000000lll378.lll120.−900.0000000000000lll84.lll36.0−00.0000000000000lll33.6lll2.40−0.0000000000000lll2.10lll300−0000000000000lll294lll60−00000000000lll42lll180−00000000000lll168lll120−0000000000lll84lll360−000000000lll336lll240−00000000lll210lll300
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, 300−7⋅42=300−294=6.
Bring down the next digit of the dividend.
−0092.857142857142842−3900.0000000000↓000−9000.000000000000lll0.lll39.−9000.000000000000lll0.lll390.−9000.000000000000lll378.lll120.−900.0000000000000lll84.lll36.0−00.0000000000000lll33.6lll2.40−0.0000000000000lll2.10lll300−0000000000000lll294lll60−00000000000lll42lll180−00000000000lll168lll120−0000000000lll84lll360−000000000lll336lll240−00000000lll210lll300−0000000lll294lll60
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, 60−1⋅42=60−42=18.
Bring down the next digit of the dividend.
−0092.857142857142842−3900.00000000000↓00−9000.000000000000lll0.lll39.−9000.000000000000lll0.lll390.−9000.000000000000lll378.lll120.−900.0000000000000lll84.lll36.0−00.0000000000000lll33.6lll2.40−0.0000000000000lll2.10lll300−0000000000000lll294lll60−00000000000lll42lll180−00000000000lll168lll120−0000000000lll84lll360−000000000lll336lll240−00000000lll210lll300−0000000lll294lll60−00000lll42lll180
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, 180−4⋅42=180−168=12.
Bring down the next digit of the dividend.
−0092.857142857142842−3900.000000000000↓0−9000.000000000000lll0.lll39.−9000.000000000000lll0.lll390.−9000.000000000000lll378.lll120.−900.0000000000000lll84.lll36.0−00.0000000000000lll33.6lll2.40−0.0000000000000lll2.10lll300−0000000000000lll294lll60−00000000000lll42lll180−00000000000lll168lll120−0000000000lll84lll360−000000000lll336lll240−00000000lll210lll300−0000000lll294lll60−00000lll42lll180−00000lll168lll120
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, 120−2⋅42=120−84=36.
Bring down the next digit of the dividend.
−0092.857142857142842−3900.0000000000000↓−9000.000000000000lll0.lll39.−9000.000000000000lll0.lll390.−9000.000000000000lll378.lll120.−900.0000000000000lll84.lll36.0−00.0000000000000lll33.6lll2.40−0.0000000000000lll2.10lll300−0000000000000lll294lll60−00000000000lll42lll180−00000000000lll168lll120−0000000000lll84lll360−000000000lll336lll240−00000000lll210lll300−0000000lll294lll60−00000lll42lll180−00000lll168lll120−0000lll84lll360
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}