QuestionConvert $80\%$ to its simplest fraction form. Options: $\frac{1}{8}$ , $\frac{4}{5}$ , $\frac{8}{10}$ , $\frac{40}{50}$ .

Studdy Solution

STEP 1

Assumptions1. We are asked to express80% as a fraction in reduced form. . The given options are $\frac{1}{8}$ , $\frac{4}{5}$ , $\frac{8}{10}$ , $\frac{40}{50}$

STEP 2

First, we need to convert the percentage to a fraction. We can do this by placing the percentage over100.
$80\% = \frac{80}{100}$

STEP 3

Now, we need to reduce the fraction to its simplest form. We can do this by finding the greatest common divisor (GCD) of the numerator and the denominator and then dividing both by this number.

STEP 4

The GCD of80 and100 is20. So, we divide both the numerator and the denominator by20.
$\frac{80}{100} = \frac{80/20}{100/20}$

STEP 5

Calculate the reduced fraction.
$\frac{80/20}{100/20} = \frac{4}{5}$ So,80% as a fraction in reduced form is $\frac{4}{5}$ .

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QuestionConvert $80\%$ to its simplest fraction form. Options: $\frac{1}{8}$ , $\frac{4}{5}$ , $\frac{8}{10}$ , $\frac{40}{50}$ .

Studdy Solution

STEP 1

Assumptions1. We are asked to express80% as a fraction in reduced form. . The given options are $\frac{1}{8}$ , $\frac{4}{5}$ , $\frac{8}{10}$ , $\frac{40}{50}$

STEP 2

First, we need to convert the percentage to a fraction. We can do this by placing the percentage over100.
$80\% = \frac{80}{100}$

STEP 3

Now, we need to reduce the fraction to its simplest form. We can do this by finding the greatest common divisor (GCD) of the numerator and the denominator and then dividing both by this number.

STEP 4

The GCD of80 and100 is20. So, we divide both the numerator and the denominator by20.
$\frac{80}{100} = \frac{80/20}{100/20}$

STEP 5

Calculate the reduced fraction.
$\frac{80/20}{100/20} = \frac{4}{5}$ So,80% as a fraction in reduced form is $\frac{4}{5}$ .

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QuestionConvert 80%80\%80% to its simplest fraction form. Options: 18\frac{1}{8}81​, 45\frac{4}{5}54​, 810\frac{8}{10}108​, 4050\frac{40}{50}5040​.

Studdy Solution

STEP 1

Assumptions1. We are asked to express80% as a fraction in reduced form. . The given options are 18\frac{1}{8}81​, 45\frac{4}{5}54​, 810\frac{8}{10}108​, 4050\frac{40}{50}5040​

STEP 2

First, we need to convert the percentage to a fraction. We can do this by placing the percentage over100.80%=8010080\% = \frac{80}{100}80%=10080​

STEP 3

Now, we need to reduce the fraction to its simplest form. We can do this by finding the greatest common divisor (GCD) of the numerator and the denominator and then dividing both by this number.

STEP 4

The GCD of80 and100 is20. So, we divide both the numerator and the denominator by20.80100=80/20100/20\frac{80}{100} = \frac{80/20}{100/20}10080​=100/2080/20​

STEP 5

Calculate the reduced fraction.80/20100/20=45\frac{80/20}{100/20} = \frac{4}{5}100/2080/20​=54​So,80% as a fraction in reduced form is 45\frac{4}{5}54​.

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QuestionConvert $80\%$ to its simplest fraction form. Options: $\frac{1}{8}$ , $\frac{4}{5}$ , $\frac{8}{10}$ , $\frac{40}{50}$ .

Assumptions1. We are asked to express80% as a fraction in reduced form. . The given options are $\frac{1}{8}$ , $\frac{4}{5}$ , $\frac{8}{10}$ , $\frac{40}{50}$

First, we need to convert the percentage to a fraction. We can do this by placing the percentage over100.
$80\% = \frac{80}{100}$

The GCD of80 and100 is20. So, we divide both the numerator and the denominator by20.
$\frac{80}{100} = \frac{80/20}{100/20}$

Calculate the reduced fraction.
$\frac{80/20}{100/20} = \frac{4}{5}$ So,80% as a fraction in reduced form is $\frac{4}{5}$ .