Convert to a Decimal 42.4%

$42.4 %$

Step 1

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

$\frac{42.4}{100}$

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.

$\frac{424}{1000}$

Step 3

Cancel the common factor of $424$ and $1000$ .

Factor $8$ out of $424$ .

$\frac{8 (53)}{1000}$

Cancel the common factors.

Factor $8$ out of $1000$ .

$\frac{8 \cdot 53}{8 \cdot 125}$

Cancel the common factor.

$\frac{8 \cdot 53}{8 \cdot 125}$

Rewrite the expression.

$\frac{53}{125}$

Step 4

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

$0.424$

Convert to a Decimal 42.4%

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