Kalkulator ułamków dziesiętnych
Konwersja ułamków zwykłych na dziesiętne krok po kroku
Kalkulator zamieni podany ułamek (właściwy lub niewłaściwy) lub liczbę mieszaną na liczbę dziesiętną (ewentualnie powtarzającą się lub rekurencyjną), z pokazanymi krokami.
Solution
Your input: convert 12300200 into a decimal.
Write the problem in the special format:
−61.5200−12300
Step 1
How many 200's are in 1? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 1−0⋅200=1−0=1.
Bring down the next digit of the dividend.
−00061.5200−12↓300.0−23000.lll0.lll12.
Step 2
How many 200's are in 12? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 12−0⋅200=12−0=12.
Bring down the next digit of the dividend.
−00061.5200−123↓00.0−23000.lll0.lll12.−23000.lll0.lll123.
Step 3
How many 200's are in 123? The answer is 0.
Write down the calculated result in the upper part of the table.
Now, 123−0⋅200=123−0=123.
Bring down the next digit of the dividend.
−00061.5200−1230↓0.0−23000.lll0.lll12.−23000.lll0.lll123.−23000.lll0.lll1230.
Step 4
How many 200's are in 1230? The answer is 6.
Write down the calculated result in the upper part of the table.
Now, 1230−6⋅200=1230−1200=30.
Bring down the next digit of the dividend.
−00061.5200−12300↓.0−23000.lll0.lll12.−23000.lll0.lll123.−23000.lll0.lll1230.−23000.lll1200.lll300.
Step 5
How many 200's are in 300? The answer is 1.
Write down the calculated result in the upper part of the table.
Now, 300−1⋅200=300−200=100.
Bring down the next digit of the dividend.
−00061.5200−12300.0↓−23000.lll0.lll12.−23000.lll0.lll123.−23000.lll0.lll1230.−23000.lll1200.lll300.−300.0lll200.lll100.0
Step 6
How many 200's are in 1000? The answer is 5.
Write down the calculated result in the upper part of the table.
Now, 1000−5⋅200=1000−1000=0.
−00061.5200−12300.0−23000.lll0.lll12.−23000.lll0.lll123.−23000.lll0.lll1230.−23000.lll1200.lll300.−300.0lll200.lll100.0−300.0lll100.0lll0
Since the remainder is 0, then we are done.
Therefore, 12300200=61.5
Answer: 12300200=61.5