Question Find the product of 6 and $2 / 3$ in simplified form.

Studdy Solution

STEP 1

Assumptions
1. We are multiplying an integer (6) by a fraction ( $\frac{2}{3}$ ).
2. The product needs to be expressed in standard form, which means writing it as a whole number or a mixed number, not as an improper fraction.

STEP 2

To find the product of an integer and a fraction, we multiply the numerator of the fraction by the integer and keep the denominator the same.
$Product = Integer \times \frac{Numerator}{Denominator}$

STEP 3

Now, plug in the given values for the integer (6) and the fraction ( $\frac{2}{3}$ ) to calculate the product.
$Product = 6 \times \frac{2}{3}$

STEP 4

Multiply the integer by the numerator of the fraction.
$Product = \frac{6 \times 2}{3}$

STEP 5

Calculate the multiplication in the numerator.
$Product = \frac{12}{3}$

STEP 6

Divide the numerator by the denominator to simplify the fraction.
$Product = \frac{12}{3} = 4$

STEP 7

The product of 6 and $\frac{2}{3}$ in standard form is 4.
The product in standard form is 4.

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Question Find the product of 6 and $2 / 3$ in simplified form.

Studdy Solution

STEP 1

Assumptions
1. We are multiplying an integer (6) by a fraction ( $\frac{2}{3}$ ).
2. The product needs to be expressed in standard form, which means writing it as a whole number or a mixed number, not as an improper fraction.

STEP 2

To find the product of an integer and a fraction, we multiply the numerator of the fraction by the integer and keep the denominator the same.
$Product = Integer \times \frac{Numerator}{Denominator}$

STEP 3

Now, plug in the given values for the integer (6) and the fraction ( $\frac{2}{3}$ ) to calculate the product.
$Product = 6 \times \frac{2}{3}$

STEP 4

Multiply the integer by the numerator of the fraction.
$Product = \frac{6 \times 2}{3}$

STEP 5

Calculate the multiplication in the numerator.
$Product = \frac{12}{3}$

STEP 6

Divide the numerator by the denominator to simplify the fraction.
$Product = \frac{12}{3} = 4$

STEP 7

The product of 6 and $\frac{2}{3}$ in standard form is 4.
The product in standard form is 4.

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Question Find the product of 6 and 2/32 / 32/3 in simplified form.

Studdy Solution

STEP 1

Assumptions1. We are multiplying an integer (6) by a fraction (23\frac{2}{3}32​).2. The product needs to be expressed in standard form, which means writing it as a whole number or a mixed number, not as an improper fraction.

STEP 2

To find the product of an integer and a fraction, we multiply the numerator of the fraction by the integer and keep the denominator the same.Product=Integer×NumeratorDenominatorProduct = Integer \times \frac{Numerator}{Denominator}Product=Integer×DenominatorNumerator​

STEP 3

Now, plug in the given values for the integer (6) and the fraction (23\frac{2}{3}32​) to calculate the product.Product=6×23Product = 6 \times \frac{2}{3}Product=6×32​

STEP 4

Multiply the integer by the numerator of the fraction.Product=6×23Product = \frac{6 \times 2}{3}Product=36×2​

STEP 5

Calculate the multiplication in the numerator.Product=123Product = \frac{12}{3}Product=312​

STEP 6

Divide the numerator by the denominator to simplify the fraction.Product=123=4Product = \frac{12}{3} = 4Product=312​=4

STEP 7

The product of 6 and 23\frac{2}{3}32​ in standard form is 4.The product in standard form is 4.

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Question Find the product of 6 and $2 / 3$ in simplified form.

Assumptions
1. We are multiplying an integer (6) by a fraction ( $\frac{2}{3}$ ).
2. The product needs to be expressed in standard form, which means writing it as a whole number or a mixed number, not as an improper fraction.

To find the product of an integer and a fraction, we multiply the numerator of the fraction by the integer and keep the denominator the same.
$Product = Integer \times \frac{Numerator}{Denominator}$

Now, plug in the given values for the integer (6) and the fraction ( $\frac{2}{3}$ ) to calculate the product.
$Product = 6 \times \frac{2}{3}$

Multiply the integer by the numerator of the fraction.
$Product = \frac{6 \times 2}{3}$

Calculate the multiplication in the numerator.
$Product = \frac{12}{3}$

Divide the numerator by the denominator to simplify the fraction.
$Product = \frac{12}{3} = 4$

The product of 6 and $\frac{2}{3}$ in standard form is 4.
The product in standard form is 4.