Question

To convert a positive mixed number to an improper fraction, multiply the whole number part by the denominator and add the numerator. The result is the numerator of the improper fraction; the denominator remains unchanged.

Short answer

Question: Convert the given positive mixed number to an improper fraction: 3 2/5 Answer: To convert the mixed number 3 2/5 to an improper fraction, follow these steps: Step 1: Identify the whole number, numerator, and denominator In the given mixed number, the whole number (a) = 3, numerator (b) = 2, and denominator (c) = 5. Step 2: Multiply the whole number by the denominator Calculate a * c: 3 * 5 = 15 Step 3: Add the numerator to the result from Step 2 Calculate (a * c) + b: 15 + 2 = 17 Step 4: Write the improper fraction The improper fraction is (17/5) using the new numerator and the unchanged denominator: 17 / 5.

Step-by-step solution

Identify the whole number, numerator, and denominator

First, we need to identify the whole number, numerator, and denominator in the given positive mixed number. Let's say the mixed number is in the form a b/c, where 'a' is the whole number, 'b' is the numerator, and 'c' is the denominator.

Multiply the whole number by the denominator

Next, we need to multiply the whole number (a) by the denominator (c). The result will be used in the next step. So the calculation will be: a * c

Add the numerator to the result from Step 2

Now, we need to add the numerator (b) to the result obtained from multiplying the whole number by the denominator in Step 2. The sum will become the new numerator for our improper fraction. So the calculation will be: (a * c) + b

Write the improper fraction

Finally, we will write the improper fraction with the new numerator obtained in Step 3 and the unchanged denominator (c). So the improper fraction will be: [(a * c) + b] / c