Questions: A wheel makes 1 14/25 revolutions per minute. If it rotates for 95 minutes, how many revolutions does it make? How many revolutions does the wheel make in 95 minutes? (Simplify your answer. Type a whole number, proper fraction, or mixed number.)

Solution Steps

The wheel makes \(1 \frac{14}{25}\) revolutions per minute. First, we need to convert this mixed number into an improper fraction.

\[ 1 \frac{14}{25} = \frac{25}{25} + \frac{14}{25} = \frac{25 + 14}{25} = \frac{39}{25} \]

Next, we calculate the total number of revolutions the wheel makes in 95 minutes. We multiply the number of revolutions per minute by the number of minutes:

\[ \text{Total revolutions} = \frac{39}{25} \times 95 \]

To simplify the expression, perform the multiplication:

\[ \frac{39}{25} \times 95 = \frac{39 \times 95}{25} \]

Calculate \(39 \times 95\):

\[ 39 \times 95 = 3705 \]

Now divide by 25:

\[ \frac{3705}{25} = 148.2 \]

Since the problem asks for a whole number, proper fraction, or mixed number, we convert 148.2 to a mixed number:

\[ 148.2 = 148 \frac{1}{5} \]

Final Answer