Chapter SH, Problem 7.1.12EP

To determine

To calculate:Each percent as a fraction or mixed number in simplest form− $88\frac{1}{2}\%$

Answer to Problem 7.1.12EP

  $88\frac{1}{2}\%$ as a fraction in simplest form is $\frac{177}{200}$ .

Explanation of Solution

Given information:

Percent $=$$88\frac{1}{2}\%$

Formula used:

Percentage as fraction $=$ Value/ $100$

Calculation:

Converting the mixed fraction to improper fraction, we have:

Percent $=$$88\frac{1}{2}\%$$=$$\frac{177}{2}\%$

Using the formula,percentage as fraction $=$ Value/ $100$ ; we have:

Fraction $=$$\frac{\raisebox{1ex}{$177$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}{100}$

Simplifying further, we have:

Fraction $=$$\frac{177}{200}$

Thus, the fraction in simplest formis $\frac{177}{200}$ .

Conclusion:

Fraction in simplest formis $\frac{177}{200}$ .