Convert to a Simplified Fraction 6.4

$6.4$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is $1$ number to the right of the decimal point, place the decimal number over $10^{1}$ $(10)$ . Next, add the whole number to the left of the decimal.

$6 \frac{4}{10}$

Step 2

Reduce the fractional part of the mixed number.

$6 \frac{2}{5}$

Step 3

Convert $6 \frac{2}{5}$ to an improper fraction.

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

$6 + \frac{2}{5}$

Add $6$ and $\frac{2}{5}$ .

To write $6$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$6 \cdot \frac{5}{5} + \frac{2}{5}$

Combine $6$ and $\frac{5}{5}$ .

$\frac{6 \cdot 5}{5} + \frac{2}{5}$

Combine the numerators over the common denominator.

$\frac{6 \cdot 5 + 2}{5}$

Simplify the numerator.

Multiply $6$ by $5$ .

$\frac{30 + 2}{5}$

Add $30$ and $2$ .

$\frac{32}{5}$

Convert to a Simplified Fraction 6.4

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