QuestionCalculate the result of $\frac{7}{9}-\frac{2}{18}$ .

Studdy Solution

STEP 1

Assumptions1. We are subtracting two fractions $\frac{7}{9}$ and $\frac{}{18}$ . . To subtract fractions, they must have the same denominator.

STEP 2

First, we need to simplify the fractions. The fraction $\frac{2}{18}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is2.
$\frac{2}{18} = \frac{2 \div2}{18 \div2}$

STEP 3

Calculate the simplified form of the fraction $\frac{2}{18}$ .
$\frac{2}{18} = \frac{1}{9}$

STEP 4

Now that both fractions have the same denominator, we can subtract them.
$\frac{7}{9} - \frac{1}{9}$

STEP 5

Subtract the numerators of the fractions.
$\frac{7 -1}{9}$

STEP 6

Calculate the result of the subtraction.
$\frac{6}{9}$

STEP 7

The result can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is3.
$\frac{6}{9} = \frac{6 \div3}{9 \div3}$

STEP 8

Calculate the simplified form of the fraction $\frac{6}{}$ .
$\frac{6}{} = \frac{2}{3}$ So, $\frac{7}{}-\frac{2}{18} = \frac{2}{3}$ .

Was this helpful?

QuestionCalculate the result of $\frac{7}{9}-\frac{2}{18}$ .

Studdy Solution

STEP 1

Assumptions1. We are subtracting two fractions $\frac{7}{9}$ and $\frac{}{18}$ . . To subtract fractions, they must have the same denominator.

STEP 2

First, we need to simplify the fractions. The fraction $\frac{2}{18}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is2.
$\frac{2}{18} = \frac{2 \div2}{18 \div2}$

STEP 3

Calculate the simplified form of the fraction $\frac{2}{18}$ .
$\frac{2}{18} = \frac{1}{9}$

STEP 4

Now that both fractions have the same denominator, we can subtract them.
$\frac{7}{9} - \frac{1}{9}$

STEP 5

Subtract the numerators of the fractions.
$\frac{7 -1}{9}$

STEP 6

Calculate the result of the subtraction.
$\frac{6}{9}$

STEP 7

The result can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is3.
$\frac{6}{9} = \frac{6 \div3}{9 \div3}$

STEP 8

Calculate the simplified form of the fraction $\frac{6}{}$ .
$\frac{6}{} = \frac{2}{3}$ So, $\frac{7}{}-\frac{2}{18} = \frac{2}{3}$ .

Get Studdy

Studdy solves anything!

Start learning now

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

QuestionCalculate the result of 79−218\frac{7}{9}-\frac{2}{18}97​−182​.

Studdy Solution

STEP 1

Assumptions1. We are subtracting two fractions 79\frac{7}{9}97​ and 18\frac{}{18}18​. . To subtract fractions, they must have the same denominator.

STEP 2

First, we need to simplify the fractions. The fraction 218\frac{2}{18}182​ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is2.218=2÷218÷2\frac{2}{18} = \frac{2 \div2}{18 \div2}182​=18÷22÷2​

STEP 3

Calculate the simplified form of the fraction 218\frac{2}{18}182​.218=19\frac{2}{18} = \frac{1}{9}182​=91​

STEP 4

Now that both fractions have the same denominator, we can subtract them.79−19\frac{7}{9} - \frac{1}{9}97​−91​

STEP 5

Subtract the numerators of the fractions.7−19\frac{7 -1}{9}97−1​

STEP 6

Calculate the result of the subtraction.69\frac{6}{9}96​

STEP 7

The result can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is3.69=6÷39÷3\frac{6}{9} = \frac{6 \div3}{9 \div3}96​=9÷36÷3​

STEP 8

Calculate the simplified form of the fraction 6\frac{6}{}6​.6=23\frac{6}{} = \frac{2}{3}6​=32​So, 7−218=23\frac{7}{}-\frac{2}{18} = \frac{2}{3}7​−182​=32​.

Get Studdy

Studdy solves anything!

Start learning now

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

QuestionCalculate the result of $\frac{7}{9}-\frac{2}{18}$ .

Assumptions1. We are subtracting two fractions $\frac{7}{9}$ and $\frac{}{18}$ . . To subtract fractions, they must have the same denominator.

First, we need to simplify the fractions. The fraction $\frac{2}{18}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is2.
$\frac{2}{18} = \frac{2 \div2}{18 \div2}$

Calculate the simplified form of the fraction $\frac{2}{18}$ .
$\frac{2}{18} = \frac{1}{9}$

Now that both fractions have the same denominator, we can subtract them.
$\frac{7}{9} - \frac{1}{9}$

Subtract the numerators of the fractions.
$\frac{7 -1}{9}$

Calculate the result of the subtraction.
$\frac{6}{9}$

The result can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is3.
$\frac{6}{9} = \frac{6 \div3}{9 \div3}$

Calculate the simplified form of the fraction $\frac{6}{}$ .
$\frac{6}{} = \frac{2}{3}$ So, $\frac{7}{}-\frac{2}{18} = \frac{2}{3}$ .