QuestionSimplify the fraction $\frac{10}{100}$ .

Studdy Solution

STEP 1

Assumptions1. We are given a fraction $\frac{10}{100}$ . . We need to reduce this fraction to its simplest form.

STEP 2

The simplest form of a fraction is obtained by dividing both the numerator and the denominator by their greatest common divisor (GCD).

STEP 3

First, we need to find the GCD of10 and100.

STEP 4

The factors of10 are1,2,, and10. The factors of100 are1,2,4,,10,20,25,50, and100.

STEP 5

The greatest common factor (GCF) or greatest common divisor (GCD) of10 and100 is10.

STEP 6

Now, we divide both the numerator and the denominator of the fraction by their GCD, which is10.
$\frac{10}{100} = \frac{10 \div10}{100 \div10}$

STEP 7

Perform the division.
$\frac{10 \div10}{100 \div10} = \frac{1}{10}$ The fraction $\frac{10}{100}$ reduces to $\frac{1}{10}$ in its simplest form.

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QuestionSimplify the fraction $\frac{10}{100}$ .

Studdy Solution

STEP 1

Assumptions1. We are given a fraction $\frac{10}{100}$ . . We need to reduce this fraction to its simplest form.

STEP 2

The simplest form of a fraction is obtained by dividing both the numerator and the denominator by their greatest common divisor (GCD).

STEP 3

First, we need to find the GCD of10 and100.

STEP 4

The factors of10 are1,2,, and10. The factors of100 are1,2,4,,10,20,25,50, and100.

STEP 5

The greatest common factor (GCF) or greatest common divisor (GCD) of10 and100 is10.

STEP 6

Now, we divide both the numerator and the denominator of the fraction by their GCD, which is10.
$\frac{10}{100} = \frac{10 \div10}{100 \div10}$

STEP 7

Perform the division.
$\frac{10 \div10}{100 \div10} = \frac{1}{10}$ The fraction $\frac{10}{100}$ reduces to $\frac{1}{10}$ in its simplest form.

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QuestionSimplify the fraction 10100\frac{10}{100}10010​.

Studdy Solution

STEP 1

Assumptions1. We are given a fraction 10100\frac{10}{100}10010​. . We need to reduce this fraction to its simplest form.

STEP 2

The simplest form of a fraction is obtained by dividing both the numerator and the denominator by their greatest common divisor (GCD).

STEP 3

First, we need to find the GCD of10 and100.

STEP 4

The factors of10 are1,2,, and10. The factors of100 are1,2,4,,10,20,25,50, and100.

STEP 5

The greatest common factor (GCF) or greatest common divisor (GCD) of10 and100 is10.

STEP 6

Now, we divide both the numerator and the denominator of the fraction by their GCD, which is10.10100=10÷10100÷10\frac{10}{100} = \frac{10 \div10}{100 \div10} 10010​=100÷1010÷10​

STEP 7

Perform the division.10÷10100÷10=110\frac{10 \div10}{100 \div10} = \frac{1}{10} 100÷1010÷10​=101​The fraction 10100\frac{10}{100}10010​ reduces to 110\frac{1}{10}101​ in its simplest form.

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QuestionSimplify the fraction $\frac{10}{100}$ .

Assumptions1. We are given a fraction $\frac{10}{100}$ . . We need to reduce this fraction to its simplest form.

Now, we divide both the numerator and the denominator of the fraction by their GCD, which is10.
$\frac{10}{100} = \frac{10 \div10}{100 \div10}$

Perform the division.
$\frac{10 \div10}{100 \div10} = \frac{1}{10}$ The fraction $\frac{10}{100}$ reduces to $\frac{1}{10}$ in its simplest form.