Solved on Nov 21, 2023

Find the simplest form of the fraction $\frac{36}{104}$ .

STEP 1

Assumptions1. We are asked to simplify the fraction $\frac{36}{104}$ . . The simplest form of a fraction is achieved by dividing both the numerator and the denominator by their greatest common divisor (GCD).

STEP 2

First, we need to find the GCD of36 and104. The GCD of two numbers is the largest number that divides both of them without leaving a remainder.

STEP 3

We can find the GCD of36 and104 by listing the prime factors of each number and then multiplying the common prime factors.
Prime factors of362,2,3,3Prime factors of1042,2,2,13The common prime factors are2 and2.

STEP 4

Multiply the common prime factors to find the GCD.
$GCD =2 \\times2 =4$

STEP 5

Now that we have the GCD, we can simplify the fraction by dividing both the numerator and the denominator by the GCD.
$implified\, fraction = \frac{umerator}{GCD} / \frac{Denominator}{GCD}$

STEP 6

Plug in the values for the numerator, denominator, and GCD to simplify the fraction.
$implified\, fraction = \frac{36}{4} / \frac{104}{4}$

STEP 7

Calculate the simplified fraction.
$implified\, fraction = \frac{36}{4} / \frac{104}{4} = \frac{9}{26}$ The simplest form of $\frac{36}{104}$ is $\frac{9}{26}$ .

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Find the simplest form of the fraction $\frac{36}{104}$ .

STEP 1

Assumptions1. We are asked to simplify the fraction $\frac{36}{104}$ . . The simplest form of a fraction is achieved by dividing both the numerator and the denominator by their greatest common divisor (GCD).

STEP 2

First, we need to find the GCD of36 and104. The GCD of two numbers is the largest number that divides both of them without leaving a remainder.

STEP 3

We can find the GCD of36 and104 by listing the prime factors of each number and then multiplying the common prime factors.
Prime factors of362,2,3,3Prime factors of1042,2,2,13The common prime factors are2 and2.

STEP 4

Multiply the common prime factors to find the GCD.
$GCD =2 \\times2 =4$

STEP 5

Now that we have the GCD, we can simplify the fraction by dividing both the numerator and the denominator by the GCD.
$implified\, fraction = \frac{umerator}{GCD} / \frac{Denominator}{GCD}$

STEP 6

Plug in the values for the numerator, denominator, and GCD to simplify the fraction.
$implified\, fraction = \frac{36}{4} / \frac{104}{4}$

STEP 7

Calculate the simplified fraction.
$implified\, fraction = \frac{36}{4} / \frac{104}{4} = \frac{9}{26}$ The simplest form of $\frac{36}{104}$ is $\frac{9}{26}$ .

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Find the simplest form of the fraction 36104\frac{36}{104}10436​.

STEP 1

Assumptions1. We are asked to simplify the fraction 36104\frac{36}{104}10436​. . The simplest form of a fraction is achieved by dividing both the numerator and the denominator by their greatest common divisor (GCD).

STEP 2

First, we need to find the GCD of36 and104. The GCD of two numbers is the largest number that divides both of them without leaving a remainder.

STEP 3

We can find the GCD of36 and104 by listing the prime factors of each number and then multiplying the common prime factors.Prime factors of362,2,3,3Prime factors of1042,2,2,13The common prime factors are2 and2.

STEP 4

Multiply the common prime factors to find the GCD.GCD=2times2=4GCD =2 \\times2 =4GCD=2times2=4

STEP 5

Now that we have the GCD, we can simplify the fraction by dividing both the numerator and the denominator by the GCD.implified fraction=umeratorGCD/DenominatorGCDimplified\, fraction = \frac{umerator}{GCD} / \frac{Denominator}{GCD}implifiedfraction=GCDumerator​/GCDDenominator​

STEP 6

Plug in the values for the numerator, denominator, and GCD to simplify the fraction.implified fraction=364/1044implified\, fraction = \frac{36}{4} / \frac{104}{4}implifiedfraction=436​/4104​

STEP 7

Calculate the simplified fraction.implified fraction=364/1044=926implified\, fraction = \frac{36}{4} / \frac{104}{4} = \frac{9}{26}implifiedfraction=436​/4104​=269​The simplest form of 36104\frac{36}{104}10436​ is 926\frac{9}{26}269​.

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

Find the simplest form of the fraction $\frac{36}{104}$ .

Assumptions1. We are asked to simplify the fraction $\frac{36}{104}$ . . The simplest form of a fraction is achieved by dividing both the numerator and the denominator by their greatest common divisor (GCD).

We can find the GCD of36 and104 by listing the prime factors of each number and then multiplying the common prime factors.
Prime factors of362,2,3,3Prime factors of1042,2,2,13The common prime factors are2 and2.

Multiply the common prime factors to find the GCD.
$GCD =2 \\times2 =4$

Now that we have the GCD, we can simplify the fraction by dividing both the numerator and the denominator by the GCD.
$implified\, fraction = \frac{umerator}{GCD} / \frac{Denominator}{GCD}$

Plug in the values for the numerator, denominator, and GCD to simplify the fraction.
$implified\, fraction = \frac{36}{4} / \frac{104}{4}$

Calculate the simplified fraction.
$implified\, fraction = \frac{36}{4} / \frac{104}{4} = \frac{9}{26}$ The simplest form of $\frac{36}{104}$ is $\frac{9}{26}$ .