Math / Numbers & Operations

QuestionWrite the ritio as a fraction in lowest terms. 32 minutes to 4 hours
The ratio is $\square$ .

Studdy Solution

STEP 1

1. The problem involves converting units to ensure consistency.
2. We need to express the ratio of 32 minutes to 4 hours as a fraction.
3. The fraction should be in its lowest terms.

STEP 2

1. Convert hours to minutes.
2. Set up the ratio as a fraction.
3. Simplify the fraction to its lowest terms.

STEP 3

Convert 4 hours to minutes. Since there are 60 minutes in an hour, multiply 4 by 60.
$4 \text{ hours} = 4 \times 60 = 240 \text{ minutes}$

STEP 4

Set up the ratio of 32 minutes to 240 minutes as a fraction.
$\frac{32 \text{ minutes}}{240 \text{ minutes}}$

STEP 5

Simplify the fraction $\frac{32}{240}$ to its lowest terms by finding the greatest common divisor (GCD) of 32 and 240.
The GCD of 32 and 240 is 16.

STEP 6

Divide both the numerator and the denominator by their GCD (16).
$\frac{32 \div 16}{240 \div 16} = \frac{2}{15}$
The ratio in lowest terms is:
$\boxed{\frac{2}{15}}$

Was this helpful?

QuestionWrite the ritio as a fraction in lowest terms. 32 minutes to 4 hours
The ratio is $\square$ .

Studdy Solution

STEP 1

1. The problem involves converting units to ensure consistency.
2. We need to express the ratio of 32 minutes to 4 hours as a fraction.
3. The fraction should be in its lowest terms.

STEP 2

1. Convert hours to minutes.
2. Set up the ratio as a fraction.
3. Simplify the fraction to its lowest terms.

STEP 3

Convert 4 hours to minutes. Since there are 60 minutes in an hour, multiply 4 by 60.
$4 \text{ hours} = 4 \times 60 = 240 \text{ minutes}$

STEP 4

Set up the ratio of 32 minutes to 240 minutes as a fraction.
$\frac{32 \text{ minutes}}{240 \text{ minutes}}$

STEP 5

Simplify the fraction $\frac{32}{240}$ to its lowest terms by finding the greatest common divisor (GCD) of 32 and 240.
The GCD of 32 and 240 is 16.

STEP 6

Divide both the numerator and the denominator by their GCD (16).
$\frac{32 \div 16}{240 \div 16} = \frac{2}{15}$
The ratio in lowest terms is:
$\boxed{\frac{2}{15}}$

Get Studdy

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.

QuestionWrite the ritio as a fraction in lowest terms. 32 minutes to 4 hoursThe ratio is □\square□ .

Studdy Solution

STEP 1

1. The problem involves converting units to ensure consistency.2. We need to express the ratio of 32 minutes to 4 hours as a fraction.3. The fraction should be in its lowest terms.

STEP 2

1. Convert hours to minutes.2. Set up the ratio as a fraction.3. Simplify the fraction to its lowest terms.

STEP 3

Convert 4 hours to minutes. Since there are 60 minutes in an hour, multiply 4 by 60.4 hours=4×60=240 minutes 4 \text{ hours} = 4 \times 60 = 240 \text{ minutes} 4 hours=4×60=240 minutes

STEP 4

Set up the ratio of 32 minutes to 240 minutes as a fraction.32 minutes240 minutes \frac{32 \text{ minutes}}{240 \text{ minutes}} 240 minutes32 minutes​

STEP 5

Simplify the fraction 32240\frac{32}{240}24032​ to its lowest terms by finding the greatest common divisor (GCD) of 32 and 240.The GCD of 32 and 240 is 16.

STEP 6

Divide both the numerator and the denominator by their GCD (16).32÷16240÷16=215 \frac{32 \div 16}{240 \div 16} = \frac{2}{15} 240÷1632÷16​=152​ The ratio in lowest terms is:215\boxed{\frac{2}{15}}152​​

Get Studdy

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.

QuestionWrite the ritio as a fraction in lowest terms. 32 minutes to 4 hours
The ratio is $\square$ .

1. The problem involves converting units to ensure consistency.
2. We need to express the ratio of 32 minutes to 4 hours as a fraction.
3. The fraction should be in its lowest terms.

1. Convert hours to minutes.
2. Set up the ratio as a fraction.
3. Simplify the fraction to its lowest terms.

Convert 4 hours to minutes. Since there are 60 minutes in an hour, multiply 4 by 60.
$4 \text{ hours} = 4 \times 60 = 240 \text{ minutes}$

Set up the ratio of 32 minutes to 240 minutes as a fraction.
$\frac{32 \text{ minutes}}{240 \text{ minutes}}$

Simplify the fraction $\frac{32}{240}$ to its lowest terms by finding the greatest common divisor (GCD) of 32 and 240.
The GCD of 32 and 240 is 16.

Divide both the numerator and the denominator by their GCD (16).
$\frac{32 \div 16}{240 \div 16} = \frac{2}{15}$
The ratio in lowest terms is:
$\boxed{\frac{2}{15}}$