Convert to a Simplified Fraction 0.86602540

$0.8660254$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are $8$ numbers to the right of the decimal point, place the decimal number over $10^{8}$ $(100000000)$ . Next, add the whole number to the left of the decimal.

$0 \frac{86602540}{100000000}$

Step 2

Reduce the fraction.

Convert $0 \frac{86602540}{100000000}$ to an improper fraction.

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

$0 + \frac{86602540}{100000000}$

Add $0$ and $\frac{86602540}{100000000}$ .

$\frac{86602540}{100000000}$

Cancel the common factor of $86602540$ and $100000000$ .

Factor $20$ out of $86602540$ .

$\frac{20 (4330127)}{100000000}$

Cancel the common factors.

Factor $20$ out of $100000000$ .

$\frac{20 \cdot 4330127}{20 \cdot 5000000}$

Cancel the common factor.

$\frac{20 \cdot 4330127}{20 \cdot 5000000}$

Rewrite the expression.

$\frac{4330127}{5000000}$

Convert to a Simplified Fraction 0.86602540

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