Q9. - Algebra 1

Question

Express the following percent as a fraction or mixed number in the simplest form.

1400%

Step-by-Step Solution

Answer

 The simplest form of 1400% is 14.

Step 1. Concept of Percentage.

The percent of a number is defined as the ratio of the number and 100.

Step 2. Find the percent of given numbers.

$1400\%=\frac{1400}{100} \left[\mathrm{Bydefinitionofpercent}\right]$

Step 3. Evaluate the expression.

Write Numerator and denominator in factored form and then cancel out the common factor.

$$\begin{gathered} 1400\%=\frac{1400}{100} \\ =\frac{14·100}{100} \left[\mathrm{divideN}\&\mathrm{Dbycommonfactor}100\right] \\ =\frac{14·\frac{100}{100}}{\frac{100}{100}} \\ =\frac{14·1}{1} \\ =\frac{14}{1} \\ =14 \end{gathered}$$