How to Convert Mixed Numbers into Improper Fractions?

To convert a mixed number into an improper fraction, follow these straightforward steps:

1. Multiply: Multiply the whole number part of the mixed number by the denominator of the fractional part.
2. Add: Add the result from step 1 to the numerator of the fractional part.
3. Place: Place the result from step 2 over the original denominator.

Here's a more detailed breakdown:

A mixed number has a whole number part and a fractional part (e.g., 2 1/3). An improper fraction has a numerator that is larger than or equal to its denominator (e.g., 7/3).

Let's illustrate with an example: Convert 2 1/3 into an improper fraction.

1. Multiply: 2 (whole number) * 3 (denominator) = 6
2. Add: 6 + 1 (numerator) = 7
3. Place: 7/3 (Place the result over the original denominator)

Therefore, 2 1/3 is equal to 7/3 as an improper fraction.

Another example: Convert 8 2/5 into an improper fraction.

1. Multiply: 8 * 5 = 40
2. Add: 40 + 2 = 42
3. Place: 42/5

Thus, 8 2/5 is equivalent to 42/5.

In summary, the process involves multiplying the whole number by the denominator, adding the numerator to that product, and then keeping the original denominator.