Solved on Nov 01, 2023

Simplify $\frac{27}{30}$ to its simplest form using the Greatest Common Factor (GCF).

STEP 1

Assumptions1. We are given the fraction $\frac{27}{30}$ . . We need to simplify this fraction to its simplest form.
3. We will use the Greatest Common Factor (GCF) method to simplify the fraction.

STEP 2

First, we need to find the GCF of the numerator (27) and the denominator (30). The GCF is the largest number that divides both numbers without leaving a remainder.

STEP 3

To find the GCF, we list the factors of each number. Factors are numbers that divide into another number exactly.The factors of27 are1,3,9,27.
The factors of30 are1,2,3,5,6,10,15,30.

STEP 4

The common factors of27 and30 are1,3.
The greatest of these is3, so the GCF of27 and30 is3.

STEP 5

Now that we have the GCF, we can simplify the fraction by dividing both the numerator and the denominator by the GCF.
$\frac{27}{30} = \frac{27 \div3}{30 \div3}$

STEP 6

Perform the division to simplify the fraction.
$\frac{27}{30} = \frac{9}{10}$ The fraction $\frac{27}{30}$ simplifies to $\frac{9}{10}$ in its simplest form.

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Simplify $\frac{27}{30}$ to its simplest form using the Greatest Common Factor (GCF).

STEP 1

Assumptions1. We are given the fraction $\frac{27}{30}$ . . We need to simplify this fraction to its simplest form.
3. We will use the Greatest Common Factor (GCF) method to simplify the fraction.

STEP 2

First, we need to find the GCF of the numerator (27) and the denominator (30). The GCF is the largest number that divides both numbers without leaving a remainder.

STEP 3

To find the GCF, we list the factors of each number. Factors are numbers that divide into another number exactly.The factors of27 are1,3,9,27.
The factors of30 are1,2,3,5,6,10,15,30.

STEP 4

The common factors of27 and30 are1,3.
The greatest of these is3, so the GCF of27 and30 is3.

STEP 5

Now that we have the GCF, we can simplify the fraction by dividing both the numerator and the denominator by the GCF.
$\frac{27}{30} = \frac{27 \div3}{30 \div3}$

STEP 6

Perform the division to simplify the fraction.
$\frac{27}{30} = \frac{9}{10}$ The fraction $\frac{27}{30}$ simplifies to $\frac{9}{10}$ in its simplest form.

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Simplify 2730\frac{27}{30}3027​ to its simplest form using the Greatest Common Factor (GCF).

STEP 1

Assumptions1. We are given the fraction 2730\frac{27}{30}3027​. . We need to simplify this fraction to its simplest form.3. We will use the Greatest Common Factor (GCF) method to simplify the fraction.

STEP 2

First, we need to find the GCF of the numerator (27) and the denominator (30). The GCF is the largest number that divides both numbers without leaving a remainder.

STEP 3

To find the GCF, we list the factors of each number. Factors are numbers that divide into another number exactly.The factors of27 are1,3,9,27.The factors of30 are1,2,3,5,6,10,15,30.

STEP 4

The common factors of27 and30 are1,3.The greatest of these is3, so the GCF of27 and30 is3.

STEP 5

Now that we have the GCF, we can simplify the fraction by dividing both the numerator and the denominator by the GCF.2730=27÷330÷3\frac{27}{30} = \frac{27 \div3}{30 \div3}3027​=30÷327÷3​

STEP 6

Perform the division to simplify the fraction.2730=910\frac{27}{30} = \frac{9}{10}3027​=109​The fraction 2730\frac{27}{30}3027​ simplifies to 910\frac{9}{10}109​ in its simplest form.

Start learning now

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

Simplify $\frac{27}{30}$ to its simplest form using the Greatest Common Factor (GCF).

Assumptions1. We are given the fraction $\frac{27}{30}$ . . We need to simplify this fraction to its simplest form.
3. We will use the Greatest Common Factor (GCF) method to simplify the fraction.

To find the GCF, we list the factors of each number. Factors are numbers that divide into another number exactly.The factors of27 are1,3,9,27.
The factors of30 are1,2,3,5,6,10,15,30.

The common factors of27 and30 are1,3.
The greatest of these is3, so the GCF of27 and30 is3.

Now that we have the GCF, we can simplify the fraction by dividing both the numerator and the denominator by the GCF.
$\frac{27}{30} = \frac{27 \div3}{30 \div3}$

Perform the division to simplify the fraction.
$\frac{27}{30} = \frac{9}{10}$ The fraction $\frac{27}{30}$ simplifies to $\frac{9}{10}$ in its simplest form.