Convert to a Simplified Fraction 0.38

$0.38$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are $2$ numbers to the right of the decimal point, place the decimal number over $10^{2}$ $(100)$ . Next, add the whole number to the left of the decimal.

$0 \frac{38}{100}$

Step 2

Reduce the fraction.

Convert $0 \frac{38}{100}$ to an improper fraction.

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

$0 + \frac{38}{100}$

Add $0$ and $\frac{38}{100}$ .

$\frac{38}{100}$

Cancel the common factor of $38$ and $100$ .

Factor $2$ out of $38$ .

$\frac{2 (19)}{100}$

Cancel the common factors.

Factor $2$ out of $100$ .

$\frac{2 \cdot 19}{2 \cdot 50}$

Cancel the common factor.

$\frac{2 \cdot 19}{2 \cdot 50}$

Rewrite the expression.

$\frac{19}{50}$

Convert to a Simplified Fraction 0.38

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