Convert to a Simplified Fraction 5.65685424

$5.65685424$

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.

$5 \frac{65685424}{100000000}$

Step 2

Reduce the fractional part of the mixed number.

$5 \frac{4105339}{6250000}$

Step 3

Convert $5 \frac{4105339}{6250000}$ to an improper fraction.

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

$5 + \frac{4105339}{6250000}$

Add $5$ and $\frac{4105339}{6250000}$ .

To write $5$ as a fraction with a common denominator, multiply by $\frac{6250000}{6250000}$ .

$5 \cdot \frac{6250000}{6250000} + \frac{4105339}{6250000}$

Combine $5$ and $\frac{6250000}{6250000}$ .

$\frac{5 \cdot 6250000}{6250000} + \frac{4105339}{6250000}$

Combine the numerators over the common denominator.

$\frac{5 \cdot 6250000 + 4105339}{6250000}$

Simplify the numerator.

Multiply $5$ by $6250000$ .

$\frac{31250000 + 4105339}{6250000}$

Add $31250000$ and $4105339$ .

$\frac{35355339}{6250000}$

Convert to a Simplified Fraction 5.65685424

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