Question

How to write 75 1/3 % as a fraction in simplest form

Answer 1

To convert 75 1/3 % to a fraction in simplest form, first change the mixed number to an improper fraction, then write it over 100, and finally simplify by dividing both numerator and denominator by their greatest common divisor.

Step-by-step explanation:

To convert 75 1/3 % to a fraction in simplest form, start by understanding that a percent is a ratio whose denominator is 100. Therefore, 75 1/3 % can be expressed as the fraction 75 1/3 over 100.

First, convert the mixed number to an improper fraction. Multiply the whole number 75 by the denominator 3 and add the numerator 1:

• 75 * 3 = 225
• 225 + 1 = 226

Now, 75 1/3 as an improper fraction is 226/3. Write this as a fraction over 100:

226/3 % = (226/3) / 100 = 226/300

To simplify this fraction, we look for the greatest common divisor of 226 and 300, which is 2. Divide both the numerator and the denominator by 2 to get:

• Numerator: 226 / 2 = 113
• Denominator: 300 / 2 = 150

The fraction in simplest form is therefore 113/150.

Answer 2

The simplified form of the provided fraction is
`(226)/(3)\%`.

Step-by-step explanation:

Consider the provided fraction.

The provided fraction can be written as:

`75(1)/(3)\%`

Convert the provided mixed number into a proper fraction.

Multiply the number 75 with 3 and add 1 to the obtained number.

`75(1)/(3)\%`

`((75* 3+1))/(3)`

`(225+1)/(3)\%`

`(226)/(3)\%`

Hence, the simplified form of the provided fraction is
`(226)/(3)\%`.