Math / Numbers & Operations

QuestionWrite the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. $35 \text { to } 30$

Studdy Solution

STEP 1

1. The given ratio is $35 \text{ to } 30$ .
2. We need to express this ratio as a fraction in its simplest form.
3. The fraction should have whole numbers in both the numerator and the denominator.

STEP 2

1. Write the ratio as a fraction.
2. Simplify the fraction by finding the greatest common divisor (GCD).
3. Divide the numerator and denominator by the GCD.

STEP 3

Write the ratio $35 \text{ to } 30$ as a fraction:
$\frac{35}{30}$

STEP 4

Find the greatest common divisor (GCD) of $35$ and $30$ .
- The factors of $35$ are $1, 5, 7, 35$ . - The factors of $30$ are $1, 2, 3, 5, 6, 10, 15, 30$ . - The common factors are $1, 5$ . - The GCD is $5$ .

STEP 5

Divide both the numerator and the denominator by the GCD to simplify the fraction:
$\frac{35 \div 5}{30 \div 5} = \frac{7}{6}$
The ratio $35 \text{ to } 30$ as a fraction in simplest form is:
$\boxed{\frac{7}{6}}$

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QuestionWrite the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. $35 \text { to } 30$

Studdy Solution

STEP 1

1. The given ratio is $35 \text{ to } 30$ .
2. We need to express this ratio as a fraction in its simplest form.
3. The fraction should have whole numbers in both the numerator and the denominator.

STEP 2

1. Write the ratio as a fraction.
2. Simplify the fraction by finding the greatest common divisor (GCD).
3. Divide the numerator and denominator by the GCD.

STEP 3

Write the ratio $35 \text{ to } 30$ as a fraction:
$\frac{35}{30}$

STEP 4

Find the greatest common divisor (GCD) of $35$ and $30$ .
- The factors of $35$ are $1, 5, 7, 35$ . - The factors of $30$ are $1, 2, 3, 5, 6, 10, 15, 30$ . - The common factors are $1, 5$ . - The GCD is $5$ .

STEP 5

Divide both the numerator and the denominator by the GCD to simplify the fraction:
$\frac{35 \div 5}{30 \div 5} = \frac{7}{6}$
The ratio $35 \text{ to } 30$ as a fraction in simplest form is:
$\boxed{\frac{7}{6}}$

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QuestionWrite the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 35 to 3035 \text { to } 3035 to 30

Studdy Solution

STEP 1

1. The given ratio is 35 to 30 35 \text{ to } 30 35 to 30.2. We need to express this ratio as a fraction in its simplest form.3. The fraction should have whole numbers in both the numerator and the denominator.

STEP 2

1. Write the ratio as a fraction.2. Simplify the fraction by finding the greatest common divisor (GCD).3. Divide the numerator and denominator by the GCD.

STEP 3

Write the ratio 35 to 30 35 \text{ to } 30 35 to 30 as a fraction:3530\frac{35}{30}3035​

STEP 4

Find the greatest common divisor (GCD) of 35 35 35 and 30 30 30.- The factors of 35 35 35 are 1,5,7,35 1, 5, 7, 35 1,5,7,35. - The factors of 30 30 30 are 1,2,3,5,6,10,15,30 1, 2, 3, 5, 6, 10, 15, 30 1,2,3,5,6,10,15,30. - The common factors are 1,5 1, 5 1,5. - The GCD is 5 5 5.

STEP 5

Divide both the numerator and the denominator by the GCD to simplify the fraction:35÷530÷5=76\frac{35 \div 5}{30 \div 5} = \frac{7}{6}30÷535÷5​=67​ The ratio 35 to 30 35 \text{ to } 30 35 to 30 as a fraction in simplest form is:76\boxed{\frac{7}{6}}67​​

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QuestionWrite the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. $35 \text { to } 30$

1. The given ratio is $35 \text{ to } 30$ .
2. We need to express this ratio as a fraction in its simplest form.
3. The fraction should have whole numbers in both the numerator and the denominator.

1. Write the ratio as a fraction.
2. Simplify the fraction by finding the greatest common divisor (GCD).
3. Divide the numerator and denominator by the GCD.

Write the ratio $35 \text{ to } 30$ as a fraction:
$\frac{35}{30}$

Find the greatest common divisor (GCD) of $35$ and $30$ .
- The factors of $35$ are $1, 5, 7, 35$ . - The factors of $30$ are $1, 2, 3, 5, 6, 10, 15, 30$ . - The common factors are $1, 5$ . - The GCD is $5$ .

Divide both the numerator and the denominator by the GCD to simplify the fraction:
$\frac{35 \div 5}{30 \div 5} = \frac{7}{6}$
The ratio $35 \text{ to } 30$ as a fraction in simplest form is:
$\boxed{\frac{7}{6}}$