Convert to a Decimal 5.2%

$5.2 %$

Step 1

Convert the percentage to a fraction by placing the expression over $100$ . Percentage means \'out of $100$ \'.

$\frac{5.2}{100}$

Step 2

Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there is $1$ number to the right of the decimal point, move the decimal point $1$ place to the right.

$\frac{52}{1000}$

Step 3

Cancel the common factor of $52$ and $1000$ .

Factor $4$ out of $52$ .

$\frac{4 (13)}{1000}$

Cancel the common factors.

Factor $4$ out of $1000$ .

$\frac{4 \cdot 13}{4 \cdot 250}$

Cancel the common factor.

$\frac{4 \cdot 13}{4 \cdot 250}$

Rewrite the expression.

$\frac{13}{250}$

Step 4

Convert the fraction to a decimal by dividing the numerator by the denominator.

$0.052$

Convert to a Decimal 5.2%

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