Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Feb 17, 2024

Simplify the expression: $\frac{89}{100} \times 100\%$

STEP 1

Assumptions
1. We are multiplying a fraction by a percentage.
2. The fraction is $\frac{89}{100}$ .
3. The percentage is $100\%$ .
4. The result should be expressed as a percentage.

STEP 2

To multiply a fraction by a percentage, first convert the percentage to a fraction or a decimal. Since $100\%$ is equivalent to 1 when converted to a decimal, we can use this value directly in the multiplication.
$100\% = 1$

STEP 3

Now, multiply the fraction by the decimal equivalent of the percentage.
$\frac{89}{100} \times 1$

STEP 4

Perform the multiplication.
$\frac{89}{100} \times 1 = \frac{89}{100}$

STEP 5

Since the fraction $\frac{89}{100}$ is already in percentage form (because the denominator is 100), we can directly convert it to a percentage by removing the denominator and adding the percentage symbol.
$\frac{89}{100} = 89\%$
The result of multiplying $\frac{89}{100}$ by $100\%$ is $89\%$ .

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