Question

Write in decimal and fractional form in lowest terms: $115\%$

Answer 1

Step 1: Converting $115\%$ in to decimal form.

To convert percentage to decimal just divide the number by $100$ and remove the symbol $\text{'}\%\text{'}.$

$$\begin{gathered} 115\%=\frac{115}{100} \\ =1.15 \end{gathered}$$

Step 2: Converting $115\%$ in fraction form.

To convert percentage to fraction replaces the symbol $\text{'}\%\text{'}$ by $100$ in the denominator.

$115\%=\frac{115}{100}$

$=\frac{23}{20}$ (Dividing the denominator and numerator by their Highest common factor $5$)

$$\begin{gathered} =1+\frac{3}{20} \\ =1\frac{3}{20} \end{gathered}$$

Hence, decimal and fractional form of $115\%$ in lowest terms is $1.15$ and $1\frac{3}{20}$ respectively.