Question

How do you convert 146% to fraction and decimal notation?

Answer 1

Hint: To convert a percentage, that is, 146% to fraction, we will divide it by 100. Then, we will simplify this by cancelling the common terms. We can also represent this in mixed fraction by doing the division process after simplification and then writing in the form $\text{Quotient}\dfrac{\text{Remainder}}{\text{Divisor}}$ . To find the decimal notation of a number, we will divide that number by 10, 100, 1000… etc, we will move the decimal places to the left by the number of zeroes.

Complete step by step solution:
We have to convert 146% to fraction and decimal notation. We know that to convert a number from percentage to its fractional value, we will divide it by 100. This is illustrated below.
$146\%=\dfrac{146}{100}$
Let us simplify this. We can cancel the numerator and denominator by 2. We will get
$\dfrac{146}{100}=\dfrac{73}{50}$
We cannot further solve this as there are no common factors.
We can also represent $\dfrac{73}{50}$ in mixed fraction form. For this, we divide 73 by 50.
$50\overset{1}{\overline{\left){\begin{align}
  & \text{ }73 \\
 & -50 \\
 & \_\_\_\_ \\
 & \text{ 23} \\
\end{align}}\right.}}$
We can write $\dfrac{73}{50}$ in mixed fraction as $\text{Quotient}\dfrac{\text{Remainder}}{\text{Divisor}}$ .
Therefore, $146\%=\dfrac{73}{50}=1\dfrac{23}{50}$
Now, let us find the decimal notation of 146%.
When we divide a number by 10, 100, 1000… etc, we will move the decimal places to the left by the number of zeroes. Therefore the above form becomes
$146\%=\dfrac{146}{100}=1.46$

Note: Whenever we want to convert a percentage to its fractional form, we have to divide the number by 100. To convert a number to percentage, we will multiply it by 100. For example, let us convert 1.46 to percentage. We can do $1.46\times 100\%=146\%$ .