Solved on Sep 27, 2023

Determine if the proportion $6: 8 = 33: 44$ is true or false.

STEP 1

Assumptions1. The problem is asking if the ratio68 is equal to the ratio3344.

STEP 2

To check if two ratios are equal, we can simplify both ratios to their simplest form and then compare them.

STEP 3

First, let's simplify the ratio68. We can do this by dividing both numbers by their greatest common divisor (GCD), which is2.
$68 = \frac{6}{2} \frac{8}{2}$

STEP 4

Calculate the simplified ratio.
$68 =34$

STEP 5

Next, let's simplify the ratio3344. We can do this by dividing both numbers by their greatest common divisor (GCD), which is11.
$3344 = \frac{33}{11} \frac{44}{11}$

STEP 6

Calculate the simplified ratio.
$3344 =34$

STEP 7

Now that we have simplified both ratios, we can compare them. If they are the same, then the original ratios are equal.
$34 =34$ The statement is True.

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Determine if the proportion $6: 8 = 33: 44$ is true or false.

STEP 1

Assumptions1. The problem is asking if the ratio68 is equal to the ratio3344.

STEP 2

To check if two ratios are equal, we can simplify both ratios to their simplest form and then compare them.

STEP 3

First, let's simplify the ratio68. We can do this by dividing both numbers by their greatest common divisor (GCD), which is2.
$68 = \frac{6}{2} \frac{8}{2}$

STEP 4

Calculate the simplified ratio.
$68 =34$

STEP 5

Next, let's simplify the ratio3344. We can do this by dividing both numbers by their greatest common divisor (GCD), which is11.
$3344 = \frac{33}{11} \frac{44}{11}$

STEP 6

Calculate the simplified ratio.
$3344 =34$

STEP 7

Now that we have simplified both ratios, we can compare them. If they are the same, then the original ratios are equal.
$34 =34$ The statement is True.

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Determine if the proportion 6:8=33:446: 8 = 33: 446:8=33:44 is true or false.

STEP 1

Assumptions1. The problem is asking if the ratio68 is equal to the ratio3344.

STEP 2

To check if two ratios are equal, we can simplify both ratios to their simplest form and then compare them.

STEP 3

First, let's simplify the ratio68. We can do this by dividing both numbers by their greatest common divisor (GCD), which is2.68=628268 = \frac{6}{2} \frac{8}{2}68=26​28​

STEP 4

Calculate the simplified ratio.68=3468 =3468=34

STEP 5

Next, let's simplify the ratio3344. We can do this by dividing both numbers by their greatest common divisor (GCD), which is11.3344=331144113344 = \frac{33}{11} \frac{44}{11}3344=1133​1144​

STEP 6

Calculate the simplified ratio.3344=343344 =343344=34

STEP 7

Now that we have simplified both ratios, we can compare them. If they are the same, then the original ratios are equal.34=3434 =3434=34The statement is True.

Start learning now

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

Determine if the proportion $6: 8 = 33: 44$ is true or false.

First, let's simplify the ratio68. We can do this by dividing both numbers by their greatest common divisor (GCD), which is2.
$68 = \frac{6}{2} \frac{8}{2}$

Calculate the simplified ratio.
$68 =34$

Next, let's simplify the ratio3344. We can do this by dividing both numbers by their greatest common divisor (GCD), which is11.
$3344 = \frac{33}{11} \frac{44}{11}$

Calculate the simplified ratio.
$3344 =34$

Now that we have simplified both ratios, we can compare them. If they are the same, then the original ratios are equal.
$34 =34$ The statement is True.