QuestionSimplify the fraction $\frac{14}{532}$ .

Studdy Solution

STEP 1

Assumptions1. We are asked to simplify the fraction $\frac{14}{532}$

STEP 2

To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator.

STEP 3

The GCD of14 and532 can be found by listing the factors of each number and finding the largest number that appears in both lists.

STEP 4

The factors of14 are1,2,7, and14.

STEP 5

The factors of532 are1,2,4,7,14,19,28,38,76,133,266, and532.

STEP 6

The largest number that appears in both lists is14. Therefore, the GCD of14 and532 is14.

STEP 7

Now we can simplify the fraction by dividing both the numerator and the denominator by the GCD.
$\frac{14}{532} = \frac{14/14}{532/14}$

STEP 8

Calculate the simplified fraction.
$\frac{14}{532} = \frac{1}{38}$ The simplified form of $\frac{14}{532}$ is $\frac{1}{38}$ .

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QuestionSimplify the fraction $\frac{14}{532}$ .

Studdy Solution

STEP 1

Assumptions1. We are asked to simplify the fraction $\frac{14}{532}$

STEP 2

To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator.

STEP 3

The GCD of14 and532 can be found by listing the factors of each number and finding the largest number that appears in both lists.

STEP 4

The factors of14 are1,2,7, and14.

STEP 5

The factors of532 are1,2,4,7,14,19,28,38,76,133,266, and532.

STEP 6

The largest number that appears in both lists is14. Therefore, the GCD of14 and532 is14.

STEP 7

Now we can simplify the fraction by dividing both the numerator and the denominator by the GCD.
$\frac{14}{532} = \frac{14/14}{532/14}$

STEP 8

Calculate the simplified fraction.
$\frac{14}{532} = \frac{1}{38}$ The simplified form of $\frac{14}{532}$ is $\frac{1}{38}$ .

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QuestionSimplify the fraction 14532\frac{14}{532}53214​.

Studdy Solution

STEP 1

Assumptions1. We are asked to simplify the fraction 14532\frac{14}{532}53214​

STEP 2

To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator.

STEP 3

The GCD of14 and532 can be found by listing the factors of each number and finding the largest number that appears in both lists.

STEP 4

The factors of14 are1,2,7, and14.

STEP 5

The factors of532 are1,2,4,7,14,19,28,38,76,133,266, and532.

STEP 6

The largest number that appears in both lists is14. Therefore, the GCD of14 and532 is14.

STEP 7

Now we can simplify the fraction by dividing both the numerator and the denominator by the GCD.14532=14/14532/14\frac{14}{532} = \frac{14/14}{532/14}53214​=532/1414/14​

STEP 8

Calculate the simplified fraction.14532=138\frac{14}{532} = \frac{1}{38}53214​=381​The simplified form of 14532\frac{14}{532}53214​ is 138\frac{1}{38}381​.

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Studdy solves anything!

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QuestionSimplify the fraction $\frac{14}{532}$ .

Assumptions1. We are asked to simplify the fraction $\frac{14}{532}$

Now we can simplify the fraction by dividing both the numerator and the denominator by the GCD.
$\frac{14}{532} = \frac{14/14}{532/14}$

Calculate the simplified fraction.
$\frac{14}{532} = \frac{1}{38}$ The simplified form of $\frac{14}{532}$ is $\frac{1}{38}$ .