Math / Numbers & Operations

QuestionPewrite the ratio $8: 36$ as an equivalent ratio of the form 1 : $n$ Cile any decimals in your ans wer to 1 dp

Studdy Solution

STEP 1

1. The given ratio is $8:36$ .
2. We need to rewrite this ratio in the form $1:n$ .
3. The value of $n$ should be rounded to one decimal place if necessary.

STEP 2

1. Simplify the given ratio.
2. Convert the simplified ratio to the form $1:n$ .
3. Round the value of $n$ to one decimal place if needed.

STEP 3

Simplify the ratio $8:36$ by finding the greatest common divisor (GCD) of 8 and 36.
The GCD of 8 and 36 is 4.

STEP 4

Divide both terms of the ratio by the GCD to simplify it.
$\frac{8}{4} : \frac{36}{4} = 2 : 9$

STEP 5

Convert the simplified ratio $2:9$ to the form $1:n$ .
Divide both sides of the ratio by 2.
$\frac{2}{2} : \frac{9}{2} = 1 : 4.5$

STEP 6

Round the value of $n$ to one decimal place if necessary.
The value of $n$ is already at one decimal place: $4.5$ .
The equivalent ratio in the form $1:n$ is:
$1 : 4.5$

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QuestionPewrite the ratio $8: 36$ as an equivalent ratio of the form 1 : $n$ Cile any decimals in your ans wer to 1 dp

Studdy Solution

STEP 1

1. The given ratio is $8:36$ .
2. We need to rewrite this ratio in the form $1:n$ .
3. The value of $n$ should be rounded to one decimal place if necessary.

STEP 2

1. Simplify the given ratio.
2. Convert the simplified ratio to the form $1:n$ .
3. Round the value of $n$ to one decimal place if needed.

STEP 3

Simplify the ratio $8:36$ by finding the greatest common divisor (GCD) of 8 and 36.
The GCD of 8 and 36 is 4.

STEP 4

Divide both terms of the ratio by the GCD to simplify it.
$\frac{8}{4} : \frac{36}{4} = 2 : 9$

STEP 5

Convert the simplified ratio $2:9$ to the form $1:n$ .
Divide both sides of the ratio by 2.
$\frac{2}{2} : \frac{9}{2} = 1 : 4.5$

STEP 6

Round the value of $n$ to one decimal place if necessary.
The value of $n$ is already at one decimal place: $4.5$ .
The equivalent ratio in the form $1:n$ is:
$1 : 4.5$

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QuestionPewrite the ratio 8:368: 368:36 as an equivalent ratio of the form 1 : nnn Cile any decimals in your ans wer to 1 dp

Studdy Solution

STEP 1

1. The given ratio is 8:368:368:36.2. We need to rewrite this ratio in the form 1:n1:n1:n.3. The value of nnn should be rounded to one decimal place if necessary.

STEP 2

1. Simplify the given ratio.2. Convert the simplified ratio to the form 1:n1:n1:n.3. Round the value of nnn to one decimal place if needed.

STEP 3

Simplify the ratio 8:368:368:36 by finding the greatest common divisor (GCD) of 8 and 36.The GCD of 8 and 36 is 4.

STEP 4

Divide both terms of the ratio by the GCD to simplify it.84:364=2:9 \frac{8}{4} : \frac{36}{4} = 2 : 9 48​:436​=2:9

STEP 5

Convert the simplified ratio 2:92:92:9 to the form 1:n1:n1:n.Divide both sides of the ratio by 2.22:92=1:4.5 \frac{2}{2} : \frac{9}{2} = 1 : 4.5 22​:29​=1:4.5

STEP 6

Round the value of nnn to one decimal place if necessary.The value of nnn is already at one decimal place: 4.54.54.5. The equivalent ratio in the form 1:n1:n1:n is:1:4.51 : 4.51:4.5

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QuestionPewrite the ratio $8: 36$ as an equivalent ratio of the form 1 : $n$ Cile any decimals in your ans wer to 1 dp

1. The given ratio is $8:36$ .
2. We need to rewrite this ratio in the form $1:n$ .
3. The value of $n$ should be rounded to one decimal place if necessary.

1. Simplify the given ratio.
2. Convert the simplified ratio to the form $1:n$ .
3. Round the value of $n$ to one decimal place if needed.

Simplify the ratio $8:36$ by finding the greatest common divisor (GCD) of 8 and 36.
The GCD of 8 and 36 is 4.

Divide both terms of the ratio by the GCD to simplify it.
$\frac{8}{4} : \frac{36}{4} = 2 : 9$

Convert the simplified ratio $2:9$ to the form $1:n$ .
Divide both sides of the ratio by 2.
$\frac{2}{2} : \frac{9}{2} = 1 : 4.5$

Round the value of $n$ to one decimal place if necessary.
The value of $n$ is already at one decimal place: $4.5$ .
The equivalent ratio in the form $1:n$ is:
$1 : 4.5$