Question Simplify the fraction $\frac{3}{12}$ .

Studdy Solution

STEP 1

Assumptions
1. We need to simplify the fraction $\frac{3}{12}$ .
2. Simplification of a fraction involves finding the greatest common divisor (GCD) of the numerator and the denominator and then dividing both by this number.

STEP 2

Identify the greatest common divisor (GCD) of the numerator (3) and the denominator (12).
$GCD(3, 12)$

STEP 3

List the factors of the numerator (3) and the denominator (12) to find the GCD.
Factors of 3: 1, 3 Factors of 12: 1, 2, 3, 4, 6, 12

STEP 4

Determine the largest factor that is common to both the numerator and the denominator.
The largest common factor is 3.

STEP 5

Divide both the numerator and the denominator by the GCD to simplify the fraction.
$\frac{3 \div 3}{12 \div 3}$

STEP 6

Perform the division.
$\frac{1}{4}$
The simplified form of the fraction $\frac{3}{12}$ is $\frac{1}{4}$ .

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Question Simplify the fraction $\frac{3}{12}$ .

Studdy Solution

STEP 1

Assumptions
1. We need to simplify the fraction $\frac{3}{12}$ .
2. Simplification of a fraction involves finding the greatest common divisor (GCD) of the numerator and the denominator and then dividing both by this number.

STEP 2

Identify the greatest common divisor (GCD) of the numerator (3) and the denominator (12).
$GCD(3, 12)$

STEP 3

List the factors of the numerator (3) and the denominator (12) to find the GCD.
Factors of 3: 1, 3 Factors of 12: 1, 2, 3, 4, 6, 12

STEP 4

Determine the largest factor that is common to both the numerator and the denominator.
The largest common factor is 3.

STEP 5

Divide both the numerator and the denominator by the GCD to simplify the fraction.
$\frac{3 \div 3}{12 \div 3}$

STEP 6

Perform the division.
$\frac{1}{4}$
The simplified form of the fraction $\frac{3}{12}$ is $\frac{1}{4}$ .

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Question Simplify the fraction 312\frac{3}{12}123​.

Studdy Solution

STEP 1

Assumptions1. We need to simplify the fraction 312\frac{3}{12}123​.2. Simplification of a fraction involves finding the greatest common divisor (GCD) of the numerator and the denominator and then dividing both by this number.

STEP 2

Identify the greatest common divisor (GCD) of the numerator (3) and the denominator (12).GCD(3,12)GCD(3, 12)GCD(3,12)

STEP 3

List the factors of the numerator (3) and the denominator (12) to find the GCD.Factors of 3: 1, 3 Factors of 12: 1, 2, 3, 4, 6, 12

STEP 4

Determine the largest factor that is common to both the numerator and the denominator.The largest common factor is 3.

STEP 5

Divide both the numerator and the denominator by the GCD to simplify the fraction.3÷312÷3\frac{3 \div 3}{12 \div 3}12÷33÷3​

STEP 6

Perform the division.14\frac{1}{4}41​The simplified form of the fraction 312\frac{3}{12}123​ is 14\frac{1}{4}41​.

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Question Simplify the fraction $\frac{3}{12}$ .

Assumptions
1. We need to simplify the fraction $\frac{3}{12}$ .
2. Simplification of a fraction involves finding the greatest common divisor (GCD) of the numerator and the denominator and then dividing both by this number.

Identify the greatest common divisor (GCD) of the numerator (3) and the denominator (12).
$GCD(3, 12)$

List the factors of the numerator (3) and the denominator (12) to find the GCD.
Factors of 3: 1, 3 Factors of 12: 1, 2, 3, 4, 6, 12

Determine the largest factor that is common to both the numerator and the denominator.
The largest common factor is 3.

Divide both the numerator and the denominator by the GCD to simplify the fraction.
$\frac{3 \div 3}{12 \div 3}$

Perform the division.
$\frac{1}{4}$
The simplified form of the fraction $\frac{3}{12}$ is $\frac{1}{4}$ .