Convert to a Simplified Fraction 0.03125

$0.03125$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are $5$ numbers to the right of the decimal point, place the decimal number over $10^{5}$ $(100000)$ . Next, add the whole number to the left of the decimal.

$0 \frac{3125}{100000}$

Step 2

Reduce the fraction.

Convert $0 \frac{3125}{100000}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$0 + \frac{3125}{100000}$

Add $0$ and $\frac{3125}{100000}$ .

$\frac{3125}{100000}$

Cancel the common factor of $3125$ and $100000$ .

Factor $3125$ out of $3125$ .

$\frac{3125 (1)}{100000}$

Cancel the common factors.

Factor $3125$ out of $100000$ .

$\frac{3125 \cdot 1}{3125 \cdot 32}$

Cancel the common factor.

$\frac{3125 \cdot 1}{3125 \cdot 32}$

Rewrite the expression.

$\frac{1}{32}$

Convert to a Simplified Fraction 0.03125

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