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.
Solution
Your input: convert 340056 into a decimal.
Write the problem in the special format:
−60.71428571428571456−3400
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, 3−0⋅56=3−0=3.
Bring down the next digit of the dividend.
−0060.71428571428571456−34↓00.000000000000000−4000.00000000000000lll0.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, 34−0⋅56=34−0=34.
Bring down the next digit of the dividend.
−0060.71428571428571456−340↓0.000000000000000−4000.00000000000000lll0.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, 340−6⋅56=340−336=4.
Bring down the next digit of the dividend.
−0060.71428571428571456−3400↓.000000000000000−4000.00000000000000lll0.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, 40−0⋅56=40−0=40.
Bring down the next digit of the dividend.
−0060.71428571428571456−3400.0↓00000000000000−4000.00000000000000lll0.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, 400−7⋅56=400−392=8.
Bring down the next digit of the dividend.
−0060.71428571428571456−3400.00↓0000000000000−4000.00000000000000lll0.lll34.−4000.00000000000000lll0.lll340.−4000.00000000000000lll336.lll40.−00.000000000000000lll0.lll40.0−00.000000000000000lll39.2lll80
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, 80−1⋅56=80−56=24.
Bring down the next digit of the dividend.
−0060.71428571428571456−3400.000↓000000000000−4000.00000000000000lll0.lll34.−4000.00000000000000lll0.lll340.−4000.00000000000000lll336.lll40.−00.000000000000000lll0.lll40.0−00.000000000000000lll39.2lll80−000000000000000lll56lll240
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, 240−4⋅56=240−224=16.
Bring down the next digit of the dividend.
−0060.71428571428571456−3400.0000↓00000000000−4000.00000000000000lll0.lll34.−4000.00000000000000lll0.lll340.−4000.00000000000000lll336.lll40.−00.000000000000000lll0.lll40.0−00.000000000000000lll39.2lll80−000000000000000lll56lll240−000000000000000lll224lll160
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, 160−2⋅56=160−112=48.
Bring down the next digit of the dividend.
−0060.71428571428571456−3400.00000↓0000000000−4000.00000000000000lll0.lll34.−4000.00000000000000lll0.lll340.−4000.00000000000000lll336.lll40.−00.000000000000000lll0.lll40.0−00.000000000000000lll39.2lll80−000000000000000lll56lll240−000000000000000lll224lll160−00000000000000lll112lll480
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, 480−8⋅56=480−448=32.
Bring down the next digit of the dividend.
−0060.71428571428571456−3400.000000↓000000000−4000.00000000000000lll0.lll34.−4000.00000000000000lll0.lll340.−4000.00000000000000lll336.lll40.−00.000000000000000lll0.lll40.0−00.000000000000000lll39.2lll80−000000000000000lll56lll240−000000000000000lll224lll160−00000000000000lll112lll480−0000000000000lll448lll320
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, 320−5⋅56=320−280=40.
Bring down the next digit of the dividend.
−0060.71428571428571456−3400.0000000↓00000000−4000.00000000000000lll0.lll34.−4000.00000000000000lll0.lll340.−4000.00000000000000lll336.lll40.−00.000000000000000lll0.lll40.0−00.000000000000000lll39.2lll80−000000000000000lll56lll240−000000000000000lll224lll160−00000000000000lll112lll480−0000000000000lll448lll320−000000000000lll280lll400
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, 400−7⋅56=400−392=8.
Bring down the next digit of the dividend.
−0060.71428571428571456−3400.00000000↓0000000−4000.00000000000000lll0.lll34.−4000.00000000000000lll0.lll340.−4000.00000000000000lll336.lll40.−00.000000000000000lll0.lll40.0−00.000000000000000lll39.2lll80−000000000000000lll56lll240−000000000000000lll224lll160−00000000000000lll112lll480−0000000000000lll448lll320−000000000000lll280lll400−00000000000lll392lll80
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, 80−1⋅56=80−56=24.
Bring down the next digit of the dividend.
−0060.71428571428571456−3400.000000000↓000000−4000.00000000000000lll0.lll34.−4000.00000000000000lll0.lll340.−4000.00000000000000lll336.lll40.−00.000000000000000lll0.lll40.0−00.000000000000000lll39.2lll80−000000000000000lll56lll240−000000000000000lll224lll160−00000000000000lll112lll480−0000000000000lll448lll320−000000000000lll280lll400−00000000000lll392lll80−000000000lll56lll240
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, 240−4⋅56=240−224=16.
Bring down the next digit of the dividend.
−0060.71428571428571456−3400.0000000000↓00000−4000.00000000000000lll0.lll34.−4000.00000000000000lll0.lll340.−4000.00000000000000lll336.lll40.−00.000000000000000lll0.lll40.0−00.000000000000000lll39.2lll80−000000000000000lll56lll240−000000000000000lll224lll160−00000000000000lll112lll480−0000000000000lll448lll320−000000000000lll280lll400−00000000000lll392lll80−000000000lll56lll240−000000000lll224lll160
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, 160−2⋅56=160−112=48.
Bring down the next digit of the dividend.
−0060.71428571428571456−3400.00000000000↓0000−4000.00000000000000lll0.lll34.−4000.00000000000000lll0.lll340.−4000.00000000000000lll336.lll40.−00.000000000000000lll0.lll40.0−00.000000000000000lll39.2lll80−000000000000000lll56lll240−000000000000000lll224lll160−00000000000000lll112lll480−0000000000000lll448lll320−000000000000lll280lll400−00000000000lll392lll80−000000000lll56lll240−000000000lll224lll160−00000000lll112lll480
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, 480−8⋅56=480−448=32.
Bring down the next digit of the dividend.
−0060.71428571428571456−3400.000000000000↓000−4000.00000000000000lll0.lll34.−4000.00000000000000lll0.lll340.−4000.00000000000000lll336.lll40.−00.000000000000000lll0.lll40.0−00.000000000000000lll39.2lll80−000000000000000lll56lll240−000000000000000lll224lll160−00000000000000lll112lll480−0000000000000lll448lll320−000000000000lll280lll400−00000000000lll392lll80−000000000lll56lll240−000000000lll224lll160−00000000lll112lll480−0000000lll448lll320
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, 320−5⋅56=320−280=40.
Bring down the next digit of the dividend.
−0060.71428571428571456−3400.0000000000000↓00−4000.00000000000000lll0.lll34.−4000.00000000000000lll0.lll340.−4000.00000000000000lll336.lll40.−00.000000000000000lll0.lll40.0−00.000000000000000lll39.2lll80−000000000000000lll56lll240−000000000000000lll224lll160−00000000000000lll112lll480−0000000000000lll448lll320−000000000000lll280lll400−00000000000lll392lll80−000000000lll56lll240−000000000lll224lll160−00000000lll112lll480−0000000lll448lll320−000000lll280lll400
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, 400−7⋅56=400−392=8.
Bring down the next digit of the dividend.
−0060.71428571428571456−3400.00000000000000↓0−4000.00000000000000lll0.lll34.−4000.00000000000000lll0.lll340.−4000.00000000000000lll336.lll40.−00.000000000000000lll0.lll40.0−00.000000000000000lll39.2lll80−000000000000000lll56lll240−000000000000000lll224lll160−00000000000000lll112lll480−0000000000000lll448lll320−000000000000lll280lll400−00000000000lll392lll80−000000000lll56lll240−000000000lll224lll160−00000000lll112lll480−0000000lll448lll320−000000lll280lll400−00000lll392lll80
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}