Math / Numbers & Operations

QuestionWrite as a fraction. $0.325$

Studdy Solution

STEP 1

1. The decimal number $0.325$ can be expressed as a fraction in the form $\frac{a}{b}$ , where $a$ and $b$ are integers and $b \neq 0$ .
2. The decimal $0.325$ has a finite number of decimal places.

STEP 2

1. Express the decimal as a fraction with a power of 10 in the denominator.
2. Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.
3. Divide both the numerator and the denominator by their GCD to obtain the fraction in simplest form.

STEP 3

Express the decimal $0.325$ as a fraction with a power of 10 in the denominator.
$0.325 = \frac{325}{1000}$

STEP 4

Identify the greatest common divisor (GCD) of the numerator $325$ and the denominator $1000$ .
We use the Euclidean algorithm to find the GCD of $325$ and $1000$ . $\gcd(325, 1000) = 25$

STEP 5

Divide both the numerator and the denominator by the GCD $25$ to simplify the fraction.
$\frac{325 \div 25}{1000 \div 25} = \frac{13}{40}$
Therefore, the fraction representation of $0.325$ is:
$\frac{13}{40}$

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QuestionWrite as a fraction. $0.325$

Studdy Solution

STEP 1

1. The decimal number $0.325$ can be expressed as a fraction in the form $\frac{a}{b}$ , where $a$ and $b$ are integers and $b \neq 0$ .
2. The decimal $0.325$ has a finite number of decimal places.

STEP 2

1. Express the decimal as a fraction with a power of 10 in the denominator.
2. Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.
3. Divide both the numerator and the denominator by their GCD to obtain the fraction in simplest form.

STEP 3

Express the decimal $0.325$ as a fraction with a power of 10 in the denominator.
$0.325 = \frac{325}{1000}$

STEP 4

Identify the greatest common divisor (GCD) of the numerator $325$ and the denominator $1000$ .
We use the Euclidean algorithm to find the GCD of $325$ and $1000$ . $\gcd(325, 1000) = 25$

STEP 5

Divide both the numerator and the denominator by the GCD $25$ to simplify the fraction.
$\frac{325 \div 25}{1000 \div 25} = \frac{13}{40}$
Therefore, the fraction representation of $0.325$ is:
$\frac{13}{40}$

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QuestionWrite as a fraction. 0.3250.3250.325

Studdy Solution

STEP 1

1. The decimal number 0.3250.3250.325 can be expressed as a fraction in the form ab\frac{a}{b}ba​, where aaa and bbb are integers and b≠0b \neq 0b=0.2. The decimal 0.3250.3250.325 has a finite number of decimal places.

STEP 2

1. Express the decimal as a fraction with a power of 10 in the denominator.2. Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.3. Divide both the numerator and the denominator by their GCD to obtain the fraction in simplest form.

STEP 3

Express the decimal 0.3250.3250.325 as a fraction with a power of 10 in the denominator.0.325=3251000 0.325 = \frac{325}{1000} 0.325=1000325​

STEP 4

Identify the greatest common divisor (GCD) of the numerator 325325325 and the denominator 100010001000.We use the Euclidean algorithm to find the GCD of 325325325 and 100010001000. gcd⁡(325,1000)=25 \gcd(325, 1000) = 25 gcd(325,1000)=25

STEP 5

Divide both the numerator and the denominator by the GCD 252525 to simplify the fraction.325÷251000÷25=1340 \frac{325 \div 25}{1000 \div 25} = \frac{13}{40} 1000÷25325÷25​=4013​Therefore, the fraction representation of 0.3250.3250.325 is:1340 \frac{13}{40} 4013​

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QuestionWrite as a fraction. $0.325$

1. The decimal number $0.325$ can be expressed as a fraction in the form $\frac{a}{b}$ , where $a$ and $b$ are integers and $b \neq 0$ .
2. The decimal $0.325$ has a finite number of decimal places.

1. Express the decimal as a fraction with a power of 10 in the denominator.
2. Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.
3. Divide both the numerator and the denominator by their GCD to obtain the fraction in simplest form.

Express the decimal $0.325$ as a fraction with a power of 10 in the denominator.
$0.325 = \frac{325}{1000}$

Identify the greatest common divisor (GCD) of the numerator $325$ and the denominator $1000$ .
We use the Euclidean algorithm to find the GCD of $325$ and $1000$ . $\gcd(325, 1000) = 25$

Divide both the numerator and the denominator by the GCD $25$ to simplify the fraction.
$\frac{325 \div 25}{1000 \div 25} = \frac{13}{40}$
Therefore, the fraction representation of $0.325$ is:
$\frac{13}{40}$