# Convert to a Decimal 11.2%

11.2%
Convert the percentage to a fraction by placing the expression over 100. Percentage means ‘out of 100’.
11.2100
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.
1121000
Cancel the common factor of 112 and 1000.
Factor 8 out of 112.
8(14)1000
Cancel the common factors.
Factor 8 out of 1000.
8⋅148⋅125
Cancel the common factor.
8⋅148⋅125
Rewrite the expression.
14125
14125
14125
Convert the fraction to a decimal by dividing the numerator by the denominator.
0.112
Convert to a Decimal 11.2%

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