Mixed Number to Improper Fraction Calculator

How to Convert Mixed Numbers to Improper Fractions

Converting mixed numbers to improper fractions is a fundamental skill in mathematics. This process allows us to perform operations on fractions more easily. Here's a comprehensive guide on how to use the calculator and understand the conversion process:

Mixed Number to Improper Fraction Formula

For a mixed number \(a \frac{b}{c}\), the formula to convert it to an improper fraction is:

$$\frac{(a \times c) + b}{c}$$

Where:

• \(a\) is the whole number
• \(b\) is the numerator of the fractional part
• \(c\) is the denominator of the fractional part

Calculation Steps

1. Multiply the whole number by the denominator.
2. Add the result to the numerator.
3. Write this sum over the original denominator.

Example Calculation

Let's convert 3 2/5 to an improper fraction:

1. Identify the parts:
   • Whole number (a) = 3
   • Numerator (b) = 2
   • Denominator (c) = 5
2. Apply the formula:

   $$(3 \times 5) + 2 = 17$$

3. Write the result over the original denominator:

   $$\frac{17}{5}$$

Therefore, 3 2/5 as an improper fraction is 17/5.

Visual Representation

This visual representation shows how 3 2/5 is composed of three complete circles (representing the whole number 3) and a partial circle showing 2/5. When converted to an improper fraction, the three whole numbers become 15/5, which adds to the 2/5 to give us 17/5.