Math / Numbers & Operations

QuestionJamie's engine is performing 294 revolutions in 4 minutes. Write the rate as a fraction in simplest form. Do not include units in your answer.

Studdy Solution

STEP 1

1. Jamie's engine performs $294$ revolutions in $4$ minutes.
2. We need to express the rate of revolutions per minute as a fraction in simplest form.

STEP 2

1. Define the rate as a fraction.
2. Simplify the fraction.

STEP 3

Define the rate of revolutions per minute as a fraction:
$\frac{294 \text{ revolutions}}{4 \text{ minutes}}$

STEP 4

Simplify the fraction by finding the greatest common divisor (GCD) of $294$ and $4$ .
First, check divisibility: - $294$ is even, so it is divisible by $2$ . - $4$ is also divisible by $2$ .
Divide both the numerator and the denominator by $2$ :
$\frac{294 \div 2}{4 \div 2} = \frac{147}{2}$

STEP 5

Check if the fraction $\frac{147}{2}$ can be simplified further.
- $147$ is not divisible by $2$ (since it is odd). - Therefore, $\frac{147}{2}$ is in its simplest form.
The rate of revolutions per minute, expressed as a fraction in simplest form, is:
$\boxed{\frac{147}{2}}$

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