Improper Fraction to Mixed Number Calculator

How to Convert Improper Fractions to Mixed Numbers

Converting improper fractions to mixed numbers is a fundamental skill in mathematics. It involves expressing a fraction with a numerator greater than or equal to its denominator as a whole number plus a proper fraction.

Formula for Converting Improper Fractions to Mixed Numbers

The process to convert an improper fraction to a mixed number is:

\[\frac{a}{b} = q\frac{r}{b}\]

Where:

• \(a\) is the numerator of the improper fraction
• \(b\) is the denominator of the improper fraction
• \(q\) is the quotient (whole number part) when \(a\) is divided by \(b\)
• \(r\) is the remainder when \(a\) is divided by \(b\)

Calculation Steps

1. Divide the numerator by the denominator.
2. The quotient becomes the whole number part of the mixed number.
3. The remainder becomes the numerator of the fractional part.
4. The denominator remains the same for the fractional part.

Example Calculation

Let's convert the improper fraction \(\frac{17}{5}\) to a mixed number:

1. Divide 17 by 5: \(17 \div 5 = 3\) remainder \(2\)
2. The whole number part is 3
3. The remainder 2 becomes the numerator of the fractional part
4. The denominator remains 5

Therefore, \(\frac{17}{5} = 3\frac{2}{5}\)

Visual Representation

This pie chart visually represents the mixed number 3 2/5. The larger slice (in red) represents the whole number part (3), while the smaller slice (in blue) represents the fractional part (2/5).