QuestionMultiply and simplify: $\frac{2}{9} \cdot \frac{2}{9}$ .

Studdy Solution

STEP 1

Assumptions1. We are asked to perform the multiplication operation on two fractions. . The fractions are $\frac{}{9}$ and $\frac{}{9}$ .
3. We need to reduce the answer to its lowest terms if possible.

STEP 2

To multiply two fractions, we multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together.
$\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}$

STEP 3

Now, plug in the given values for the numerators and denominators to perform the multiplication.
$\frac{2}{9} \cdot \frac{2}{9} = \frac{2 \cdot2}{9 \cdot9}$

STEP 4

Perform the multiplication in the numerator and the denominator.
$\frac{2 \cdot2}{9 \cdot9} = \frac{4}{81}$

STEP 5

The fraction $\frac{4}{81}$ is already in its lowest terms because the numerator and the denominator have no common factors other than1.
So, the multiplication of $\frac{2}{9}$ and $\frac{2}{9}$ is $\frac{4}{81}$ .

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QuestionMultiply and simplify: $\frac{2}{9} \cdot \frac{2}{9}$ .

Studdy Solution

STEP 1

Assumptions1. We are asked to perform the multiplication operation on two fractions. . The fractions are $\frac{}{9}$ and $\frac{}{9}$ .
3. We need to reduce the answer to its lowest terms if possible.

STEP 2

To multiply two fractions, we multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together.
$\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}$

STEP 3

Now, plug in the given values for the numerators and denominators to perform the multiplication.
$\frac{2}{9} \cdot \frac{2}{9} = \frac{2 \cdot2}{9 \cdot9}$

STEP 4

Perform the multiplication in the numerator and the denominator.
$\frac{2 \cdot2}{9 \cdot9} = \frac{4}{81}$

STEP 5

The fraction $\frac{4}{81}$ is already in its lowest terms because the numerator and the denominator have no common factors other than1.
So, the multiplication of $\frac{2}{9}$ and $\frac{2}{9}$ is $\frac{4}{81}$ .

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QuestionMultiply and simplify: 29⋅29\frac{2}{9} \cdot \frac{2}{9}92​⋅92​.

Studdy Solution

STEP 1

Assumptions1. We are asked to perform the multiplication operation on two fractions. . The fractions are 9\frac{}{9}9​ and 9\frac{}{9}9​.3. We need to reduce the answer to its lowest terms if possible.

STEP 2

To multiply two fractions, we multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together.ab⋅cd=a⋅cb⋅d\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}ba​⋅dc​=b⋅da⋅c​

STEP 3

Now, plug in the given values for the numerators and denominators to perform the multiplication.29⋅29=2⋅29⋅9\frac{2}{9} \cdot \frac{2}{9} = \frac{2 \cdot2}{9 \cdot9}92​⋅92​=9⋅92⋅2​

STEP 4

Perform the multiplication in the numerator and the denominator.2⋅29⋅9=481\frac{2 \cdot2}{9 \cdot9} = \frac{4}{81}9⋅92⋅2​=814​

STEP 5

The fraction 481\frac{4}{81}814​ is already in its lowest terms because the numerator and the denominator have no common factors other than1.So, the multiplication of 29\frac{2}{9}92​ and 29\frac{2}{9}92​ is 481\frac{4}{81}814​.

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QuestionMultiply and simplify: $\frac{2}{9} \cdot \frac{2}{9}$ .

Assumptions1. We are asked to perform the multiplication operation on two fractions. . The fractions are $\frac{}{9}$ and $\frac{}{9}$ .
3. We need to reduce the answer to its lowest terms if possible.

To multiply two fractions, we multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together.
$\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}$

Now, plug in the given values for the numerators and denominators to perform the multiplication.
$\frac{2}{9} \cdot \frac{2}{9} = \frac{2 \cdot2}{9 \cdot9}$

Perform the multiplication in the numerator and the denominator.
$\frac{2 \cdot2}{9 \cdot9} = \frac{4}{81}$

The fraction $\frac{4}{81}$ is already in its lowest terms because the numerator and the denominator have no common factors other than1.
So, the multiplication of $\frac{2}{9}$ and $\frac{2}{9}$ is $\frac{4}{81}$ .