Can you please show me how to do this so I can teach it to my boys? They need to Express percents as fractions or mixed numbers, and to express each percent as a decimal.

Question

asked May 13, 2023 183k views

1 Answer

RoLYroLLs · Answer 1 · 2023-05-19T16:17:00+0000

A. Let's convert the following percents into a fraction or a mixed number in the simplest form.

1.) 24%

4.) 150%

To be able to convert percentage into a fraction, we just apply the following formula:

$\text{ Fractional Equivalent = }\frac{\text{Percentage}}{100}$

We get,

1.) 24%

$\text{ Fractional Equivalent = }\frac{\text{Percentage}}{100}$
$\text{ = }(24)/(100)$
$\text{ = }((24)/(4))/((100)/(4))\text{ = }(6)/(25)$

Therefore, the fractional form of 24% is 6/25.

4.) 150%

$\text{ Fractional Equivalent = }\frac{\text{Percentage}}{100}$
$\text{ = }(150)/(100)$
$\text{ = 1 }(50)/(100)\text{ = 1}(1)/(2)$

Therefore, the fractional form of 150% is 1 1/2.

B. Express each percent as a decimal.

9.) 8%

14.) 568%

To be able to convert a percentage to a decimal, we just divide all percentages by 100.

$\text{Decimal Equivalent = Percentage }/\text{ 100}$

9.) 8%

$\text{Decimal Equivalent = Percentage }/\text{ 100}$
$\text{ = 8 }/\text{ 100}$
$\text{ Decimal Equivalent = 0.08}$

14.) 568%

$\text{Decimal Equivalent = Percentage }/\text{ 100}$
$\text{ = 568 }/\text{ 100}$
$\text{ Decimal Equivalent = 5.68}$

Therefore, the decimal equivalent of 568% is 5.68.