Question

Convert
4. 5
%
4. 5% to a fraction in simplest form and a decimal

Answer 1

`\large\boxed{\tt 4.5 \% = (4.5)/(100)}`

`\large\boxed{\tt 4.5 \% = 0.045}`

Explanation:

`\textsf{We are asked to turn 4.5\% into a Decimal and a Fraction.}`

`\large\underline{\textsf{We should know that;}}`

`\textsf{A Percentage is a fraction, as they are both part of 1 whole.}`

`\textsf{Converting 4.5\% to a fraction and a decimal is our goal.}`

`\large\underline{\textsf{What is a Percentage;}}`

`\textsf{A Percentage is a ratio that represents part of 1.00. Because of this, they're located}`

`\textsf{to the right of the decimal. (Less Than 1)}`

`\underline{\textsf{Because it's part of 1.00;}}`

`\tt (Percentage \ (\%))/(100)`

`\textsf{It's simple to convert a percentage into a fraction, as they \underline{are} fractions.}`

`\underline{\textsf{For our problem;}}`

`\tt 4.5 \% = (0.045)/(1)`

`\textsf{Simply multiply the Numerator and Denominator by 100.}`

`\tt 4.5 \% = (0.045 * 100)/(1 * 100)`

`\large\boxed{\tt 4.5 \% = (4.5)/(100)}`

`\textsf{For Decimals, it's dividing the percentage by 100, then representing the quotient}`

`\textsf{as a decimal.}`

`\large\underline{\textsf{Divide;}}`

`\tt (4.5)/(100)`

`\textsf{For dividing percentages, we move the decimal point to the left to represent decrease.}`

`\tt (4.5)/(100) \rightarrow (0.45)/(10) \rightarrow \tt (0.045)/(1)=\boxed{0.045}`

`\large\underline{\textsf{Hence;}}`

`\large\boxed{\tt 4.5 \% = (4.5)/(100)}`

`\large\boxed{\tt 4.5 \% = 0.045}`