Math / Numbers & Operations

QuestionIn Ms. Franko's class for every 6 boys there are 8 girls. Write the ratio of boys to girls in simplest form.

Studdy Solution

STEP 1

1. The number of boys is $6$ .
2. The number of girls is $8$ .
3. We need to find the simplest form of the ratio of boys to girls.

STEP 2

1. Write the initial ratio.
2. Simplify the ratio by finding the greatest common divisor (GCD).
3. Divide both terms by the GCD to simplify the ratio.

STEP 3

Write the initial ratio of boys to girls.
The initial ratio is $\frac{6}{8}$ .

STEP 4

Find the greatest common divisor (GCD) of $6$ and $8$ .
The divisors of $6$ are $1, 2, 3, 6$ .
The divisors of $8$ are $1, 2, 4, 8$ .
The greatest common divisor is $2$ .

STEP 5

Divide both terms of the ratio by the GCD to simplify.
$\frac{6 \div 2}{8 \div 2} = \frac{3}{4}$
The simplest form of the ratio of boys to girls is:
$\boxed{\frac{3}{4}}$

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QuestionIn Ms. Franko's class for every 6 boys there are 8 girls. Write the ratio of boys to girls in simplest form.

Studdy Solution

STEP 1

1. The number of boys is $6$ .
2. The number of girls is $8$ .
3. We need to find the simplest form of the ratio of boys to girls.

STEP 2

1. Write the initial ratio.
2. Simplify the ratio by finding the greatest common divisor (GCD).
3. Divide both terms by the GCD to simplify the ratio.

STEP 3

Write the initial ratio of boys to girls.
The initial ratio is $\frac{6}{8}$ .

STEP 4

Find the greatest common divisor (GCD) of $6$ and $8$ .
The divisors of $6$ are $1, 2, 3, 6$ .
The divisors of $8$ are $1, 2, 4, 8$ .
The greatest common divisor is $2$ .

STEP 5

Divide both terms of the ratio by the GCD to simplify.
$\frac{6 \div 2}{8 \div 2} = \frac{3}{4}$
The simplest form of the ratio of boys to girls is:
$\boxed{\frac{3}{4}}$

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QuestionIn Ms. Franko's class for every 6 boys there are 8 girls. Write the ratio of boys to girls in simplest form.

Studdy Solution

STEP 1

1. The number of boys is 6 6 6.2. The number of girls is 8 8 8.3. We need to find the simplest form of the ratio of boys to girls.

STEP 2

1. Write the initial ratio.2. Simplify the ratio by finding the greatest common divisor (GCD).3. Divide both terms by the GCD to simplify the ratio.

STEP 3

Write the initial ratio of boys to girls.The initial ratio is 68 \frac{6}{8} 86​.

STEP 4

Find the greatest common divisor (GCD) of 6 6 6 and 8 8 8.The divisors of 6 6 6 are 1,2,3,6 1, 2, 3, 6 1,2,3,6.The divisors of 8 8 8 are 1,2,4,8 1, 2, 4, 8 1,2,4,8.The greatest common divisor is 2 2 2.

STEP 5

Divide both terms of the ratio by the GCD to simplify.6÷28÷2=34\frac{6 \div 2}{8 \div 2} = \frac{3}{4}8÷26÷2​=43​ The simplest form of the ratio of boys to girls is:34\boxed{\frac{3}{4}}43​​

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Studdy solves anything!

Start learning now

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

1. The number of boys is $6$ .
2. The number of girls is $8$ .
3. We need to find the simplest form of the ratio of boys to girls.

1. Write the initial ratio.
2. Simplify the ratio by finding the greatest common divisor (GCD).
3. Divide both terms by the GCD to simplify the ratio.

Write the initial ratio of boys to girls.
The initial ratio is $\frac{6}{8}$ .

Find the greatest common divisor (GCD) of $6$ and $8$ .
The divisors of $6$ are $1, 2, 3, 6$ .
The divisors of $8$ are $1, 2, 4, 8$ .
The greatest common divisor is $2$ .

Divide both terms of the ratio by the GCD to simplify.
$\frac{6 \div 2}{8 \div 2} = \frac{3}{4}$
The simplest form of the ratio of boys to girls is:
$\boxed{\frac{3}{4}}$