QuestionFind the simplified fraction for the decimal $0.32$ . Options: A. $\frac{8}{25}$ B. $\frac{16}{50}$ C. $\frac{3}{2}$ D. $\frac{32}{100}$

Studdy Solution

STEP 1

Assumptions1. We are given a terminating decimal $0.32$ . . We need to find the simplified fractional equivalent of this decimal.

STEP 2

First, we can express the decimal as a fraction with denominator $100$ (since there are two decimal places).
$0.32 = \frac{32}{100}$

STEP 3

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

STEP 4

The GCD of $32$ and $100$ is $4$ .

STEP 5

Divide both the numerator and the denominator by the GCD.
$\frac{32}{4} / \frac{100}{4}$

STEP 6

Calculate the simplified fraction.
$\frac{32}{4} / \frac{100}{4} = \frac{8}{25}$ The simplified fractional equivalent of the terminating decimal $0.32$ is $\frac{8}{25}$ .

Was this helpful?

QuestionFind the simplified fraction for the decimal $0.32$ . Options: A. $\frac{8}{25}$ B. $\frac{16}{50}$ C. $\frac{3}{2}$ D. $\frac{32}{100}$

Studdy Solution

STEP 1

Assumptions1. We are given a terminating decimal $0.32$ . . We need to find the simplified fractional equivalent of this decimal.

STEP 2

First, we can express the decimal as a fraction with denominator $100$ (since there are two decimal places).
$0.32 = \frac{32}{100}$

STEP 3

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

STEP 4

The GCD of $32$ and $100$ is $4$ .

STEP 5

Divide both the numerator and the denominator by the GCD.
$\frac{32}{4} / \frac{100}{4}$

STEP 6

Calculate the simplified fraction.
$\frac{32}{4} / \frac{100}{4} = \frac{8}{25}$ The simplified fractional equivalent of the terminating decimal $0.32$ is $\frac{8}{25}$ .

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind the simplified fraction for the decimal 0.320.320.32. Options: A. 825\frac{8}{25}258​ B. 1650\frac{16}{50}5016​ C. 32\frac{3}{2}23​ D. 32100\frac{32}{100}10032​

Studdy Solution

STEP 1

Assumptions1. We are given a terminating decimal 0.320.320.32. . We need to find the simplified fractional equivalent of this decimal.

STEP 2

First, we can express the decimal as a fraction with denominator 100100100 (since there are two decimal places).0.32=321000.32 = \frac{32}{100}0.32=10032​

STEP 3

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

STEP 4

The GCD of 323232 and 100100100 is 444.

STEP 5

Divide both the numerator and the denominator by the GCD.324/1004\frac{32}{4} / \frac{100}{4}432​/4100​

STEP 6

Calculate the simplified fraction.324/1004=825\frac{32}{4} / \frac{100}{4} = \frac{8}{25}432​/4100​=258​The simplified fractional equivalent of the terminating decimal 0.320.320.32 is 825\frac{8}{25}258​.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind the simplified fraction for the decimal $0.32$ . Options: A. $\frac{8}{25}$ B. $\frac{16}{50}$ C. $\frac{3}{2}$ D. $\frac{32}{100}$

Assumptions1. We are given a terminating decimal $0.32$ . . We need to find the simplified fractional equivalent of this decimal.

First, we can express the decimal as a fraction with denominator $100$ (since there are two decimal places).
$0.32 = \frac{32}{100}$

The GCD of $32$ and $100$ is $4$ .

Divide both the numerator and the denominator by the GCD.
$\frac{32}{4} / \frac{100}{4}$

Calculate the simplified fraction.
$\frac{32}{4} / \frac{100}{4} = \frac{8}{25}$ The simplified fractional equivalent of the terminating decimal $0.32$ is $\frac{8}{25}$ .