Time Units: Basic conversion

To solve this problem, we will convert the time given in hours to minutes.

• Step 1: Recall the conversion rate between hours and minutes: $1 \text{ hour} = 60 \text{ minutes}$.
• Step 2: Multiply the given number of hours by the conversion factor of 60 minutes per hour.

Let's apply these steps:

$3 \text{ hours} \times 60 \text{ minutes per hour} = 180 \text{ minutes}$.

Therefore, $3 \text{ hours}$ is equivalent to $\textbf{180 minutes}$.

The answer is choice 1: $180$.

To convert 15 minutes to hours, we will use the conversion factor that 1 hour equals 60 minutes. Our task is to determine how many hours 15 minutes represents.

• Step 1: Start with the given number of minutes, which is 15 minutes.
• Step 2: Use the conversion formula, which states that the number of hours is equal to the number of minutes divided by 60. This is because there are 60 minutes in one hour.
• Step 3: Apply the formula: $\text{hours} = \frac{\text{minutes}}{60} = \frac{15}{60}$
• Step 4: Simplify the fraction $\frac{15}{60}$ by dividing the numerator and the denominator by their greatest common divisor, which is 15.
• Step 5: Simplify $\frac{15}{60}$ to $\frac{1}{4}$.

Therefore, 15 minutes is equivalent to $\frac{1}{4}$ hours.

The correct answer is $\frac{1}{4}$.

To solve this problem, we'll follow these steps:

• Step 1: Convert hours to minutes.
• Step 2: Convert minutes to seconds.

Now, let's work through each step:

Step 1: Convert 2 hours to minutes. Since there are 60 minutes in an hour, multiply the number of hours by 60:

$2 \text{ hours} \times 60 \text{ minutes/hour} = 120 \text{ minutes}$.

Step 2: Convert 120 minutes to seconds. Since there are 60 seconds in a minute, multiply the number of minutes by 60:

$120 \text{ minutes} \times 60 \text{ seconds/minute} = 7200 \text{ seconds}$.

Therefore, the solution to the problem is $\boxed{7200}$ seconds.

To solve this problem, we need to convert minutes to hours. We will use the following method:

• First, identify the conversion factor that 1 hour is equal to 60 minutes.
• Next, take the total minutes given in the problem, which is 60 minutes, and convert it to hours.
• To convert minutes to hours, divide the number of minutes by 60 (since there are 60 minutes in an hour).

Let's work through the calculation:

Step 1: We are given 60 minutes.
Step 2: Use the conversion formula for hours:
$\text{Hours} = \frac{\text{Minutes}}{60}$
Step 3: Plug in the value that we have:
$\text{Hours} = \frac{60 \text{ minutes}}{60} = 1 \text{ hour}$

Thus, when you convert 60 minutes to hours, you get $1 \text{ hour}$.

To solve this problem, we'll follow these steps:

• Step 1: Identify the number of minutes to convert, which is 7 minutes.
• Step 2: Use the conversion formula $\text{hours} = \frac{\text{minutes}}{60}$.
• Step 3: Substitute 7 for the number of minutes in the formula to calculate the hours.

Now, let's work through each step:
Step 1: We have 7 minutes.
Step 2: Using the formula $\text{hours} = \frac{\text{minutes}}{60}$, we substitute the values to get:
Step 3: $\text{hours} = \frac{7}{60}$.

Therefore, the solution to the problem is $\frac{7}{60}$ hours.

To solve this problem, we'll convert $\frac{3}{4}$ hours into minutes:

• Step 1: Recognize that 1 hour is equal to 60 minutes.
• Step 2: Multiply the given fraction of an hour by 60 minutes/hour.

Let's perform the calculation:
Step 1: Given $\frac{3}{4}$ hours, we apply the conversion:
Step 2: $\frac{3}{4} \times 60 = 45$. This converts the fraction of an hour into minutes.

Therefore, $\frac{3}{4}$ hour is equivalent to 45 minutes.

Upon reviewing the multiple-choice options, the correct answer is choice 2: $45$.

To solve this problem, we'll follow these steps:

• Step 1: Convert the mixed number $1\frac{1}{2}$ into a decimal notation.
• Step 2: Use the conversion formula to convert hours into minutes.
• Step 3: Calculate the total number of minutes.

Now, let's work through each step:
Step 1: The mixed number $1\frac{1}{2}$ can be converted to the decimal $1.5$ by recognizing that $\frac{1}{2} = 0.5$. Thus, we have $1.5$ hours.
Step 2: Next, we use the conversion formula: $\text{minutes} = \text{hours} \times 60$, where the number of hours is $1.5$.
Step 3: Plugging in the value, we calculate: $\text{minutes} = 1.5 \times 60 = 90$.

Therefore, the solution to the problem is $90$ minutes.

To solve this problem, we will convert 5 minutes into hours by using the basic time unit conversion factor:

• Step 1: Identify the conversion factor.
  Since 1 hour = 60 minutes, the conversion factor from minutes to hours is $\frac{1 \text{ hour}}{60 \text{ minutes}}$.
• Step 2: Apply the conversion factor.
  Multiply the given time in minutes (5 minutes) by the conversion factor: $5 \, \text{minutes} \times \frac{1 \, \text{hour}}{60 \, \text{minutes}}$
• Step 3: Simplify the expression.
  Calculate: $\frac{5 \times 1}{60} = \frac{5}{60} = \frac{1}{12} \, \text{hours}$

Therefore, $5$ minutes is equivalent to $\frac{1}{12}$ hours.

The correct choice from the options provided is choice 3: $\frac{1}{12}$.

To solve the problem of converting 384 minutes into hours, we need to follow a standard unit conversion process:

• Step 1: Understand the conversion factor: $1 \text{ hour} = 60 \text{ minutes}$.
• Step 2: Use the conversion formula: $\text{hours} = \frac{\text{minutes}}{60}$.

Now, let's perform the calculation:
Step 1: We know there are 60 minutes in one hour.
Step 2: Use the formula for conversion:
$\text{hours} = \frac{384}{60}$.
Calculating this gives us:
$\frac{384}{60} = 6.4 \text{ hours}$

Therefore, the solution to the problem is $384 \text{ minutes} = 6.4 \text{ hours}$.

To solve this problem, we'll convert the given hours into minutes using the conversion factor.

• Step 1: Identify the given number of hours. We have $154$ hours.
• Step 2: Use the conversion factor between hours and minutes, which is $1$ hour $= 60$ minutes.
• Step 3: Multiply the number of hours by the conversion factor to find the number of minutes.

In detail, we execute the following calculation:

$154$ hours $\times 60$ minutes/hour = $9240$ minutes

Thus, converting 154 hours into minutes gives us a total of $9240$ minutes.