Solved on Feb 21, 2024

Find the missing value in the equation $9 / 11 = ? / 22$ .

STEP 1

Assumptions
1. We are given a proportion $\frac{9}{11} = \frac{?}{22}$ .
2. We need to find the value of '?' that makes the proportion true.

STEP 2

To solve for '?', we can use cross-multiplication. This means we multiply the numerator of one fraction by the denominator of the other fraction and set it equal to the product of the other numerator and denominator.
$9 \times 22 = 11 \times ?$

STEP 3

Now, perform the multiplication on the left side of the equation.
$9 \times 22 = 198$

STEP 4

Set up the equation with the product we found.
$198 = 11 \times ?$

STEP 5

To solve for '?', we need to divide both sides of the equation by 11.
$\frac{198}{11} = \frac{11 \times ?}{11}$

STEP 6

Perform the division on both sides to isolate '?'.
$? = \frac{198}{11}$

STEP 7

Calculate the value of '?'.
$? = 18$
The value of '?' that makes the proportion true is 18, which corresponds to option A.

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Find the missing value in the equation $9 / 11 = ? / 22$ .

STEP 1

Assumptions
1. We are given a proportion $\frac{9}{11} = \frac{?}{22}$ .
2. We need to find the value of '?' that makes the proportion true.

STEP 2

To solve for '?', we can use cross-multiplication. This means we multiply the numerator of one fraction by the denominator of the other fraction and set it equal to the product of the other numerator and denominator.
$9 \times 22 = 11 \times ?$

STEP 3

Now, perform the multiplication on the left side of the equation.
$9 \times 22 = 198$

STEP 4

Set up the equation with the product we found.
$198 = 11 \times ?$

STEP 5

To solve for '?', we need to divide both sides of the equation by 11.
$\frac{198}{11} = \frac{11 \times ?}{11}$

STEP 6

Perform the division on both sides to isolate '?'.
$? = \frac{198}{11}$

STEP 7

Calculate the value of '?'.
$? = 18$
The value of '?' that makes the proportion true is 18, which corresponds to option A.

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Find the missing value in the equation 9/11=?/229 / 11 = ? / 229/11=?/22.

STEP 1

Assumptions1. We are given a proportion 911=?22\frac{9}{11} = \frac{?}{22}119​=22?​.2. We need to find the value of '?' that makes the proportion true.

STEP 2

To solve for '?', we can use cross-multiplication. This means we multiply the numerator of one fraction by the denominator of the other fraction and set it equal to the product of the other numerator and denominator.9×22=11×?9 \times 22 = 11 \times ?9×22=11×?

STEP 3

Now, perform the multiplication on the left side of the equation.9×22=1989 \times 22 = 1989×22=198

STEP 4

Set up the equation with the product we found.198=11×?198 = 11 \times ?198=11×?

STEP 5

To solve for '?', we need to divide both sides of the equation by 11.19811=11×?11\frac{198}{11} = \frac{11 \times ?}{11}11198​=1111×?​

STEP 6

Perform the division on both sides to isolate '?'.?=19811? = \frac{198}{11}?=11198​

STEP 7

Calculate the value of '?'.?=18? = 18?=18The value of '?' that makes the proportion true is 18, which corresponds to option A.

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Find the missing value in the equation $9 / 11 = ? / 22$ .

Assumptions
1. We are given a proportion $\frac{9}{11} = \frac{?}{22}$ .
2. We need to find the value of '?' that makes the proportion true.

To solve for '?', we can use cross-multiplication. This means we multiply the numerator of one fraction by the denominator of the other fraction and set it equal to the product of the other numerator and denominator.
$9 \times 22 = 11 \times ?$

Now, perform the multiplication on the left side of the equation.
$9 \times 22 = 198$

Set up the equation with the product we found.
$198 = 11 \times ?$

To solve for '?', we need to divide both sides of the equation by 11.
$\frac{198}{11} = \frac{11 \times ?}{11}$

Perform the division on both sides to isolate '?'.
$? = \frac{198}{11}$

Calculate the value of '?'.
$? = 18$
The value of '?' that makes the proportion true is 18, which corresponds to option A.