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Math  /  Numbers & Operations

QuestionQuestion Convert 4.5%4.5 \% to a fraction in simplest form and a decimal.
Answer Attempt 1 out of 2
Fraction: □\square Decimal (Edit the repeating and non-repeating part):
0. □\square Submit Answer

Studdy Solution

STEP 1

1. We need to convert 4.5%4.5\% to a fraction in its simplest form.
2. We also need to convert 4.5%4.5\% to a decimal.

STEP 2

1. Convert the percentage to a fraction.
2. Simplify the fraction.
3. Convert the percentage to a decimal.

STEP 3

Convert 4.5%4.5\% to a fraction by recognizing that percent means "per hundred."
4.5%=4.5100 4.5\% = \frac{4.5}{100}

STEP 4

Simplify the fraction 4.5100\frac{4.5}{100}.
First, eliminate the decimal by multiplying the numerator and the denominator by 10:
4.5×10100×10=451000 \frac{4.5 \times 10}{100 \times 10} = \frac{45}{1000}
Next, simplify 451000\frac{45}{1000} by finding the greatest common divisor (GCD) of 45 and 1000, which is 5:
45÷51000÷5=9200 \frac{45 \div 5}{1000 \div 5} = \frac{9}{200}

STEP 5

Convert 4.5%4.5\% to a decimal by dividing by 100.
4.5%=4.5100=0.045 4.5\% = \frac{4.5}{100} = 0.045
The fraction in simplest form is:
9200\boxed{\frac{9}{200}}
The decimal is:
0.045\boxed{0.045}

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