`0.00056 div 0.08` will be equal to

Options

A. `0.7`
B. `0.07`
C. `0.007`
D. ` 0.0007`

Answer

To solve the problem \(0.00056 \div 0.08\), we can follow these steps:

### Step 1: Convert the division into a fraction
We can express the division as a fraction:
\[ \frac{0.00056}{0.08} \]

### Step 2: Eliminate the decimals
To simplify the division, we can multiply both the numerator and the denominator by 1000 (to eliminate the decimals):
\[ \frac{0.00056 \times 1000}{0.08 \times 1000} = \frac{0.56}{80} \]

### Step 3: Convert the fraction to a simpler form
Now we can simplify the fraction \(\frac{0.56}{80}\). To do this, we can convert \(0.56\) to a whole number by multiplying both the numerator and the denominator by 100:
\[ \frac{0.56 \times 100}{80 \times 100} = \frac{56}{8000} \]

### Step 4: Simplify the fraction
Next, we can simplify \(\frac{56}{8000}\) by finding the greatest common divisor (GCD) of 56 and 8000. The GCD is 16:
\[ \frac{56 \div 16}{8000 \div 16} = \frac{3.5}{500} \]

### Step 5: Convert to decimal
Now we can convert \(\frac{3.5}{500}\) to a decimal:
\[ 3.5 \div 500 = 0.007 \]

### Final Answer
Thus, \(0.00056 \div 0.08 = 0.007\).

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