Question

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.

Answer 1

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.