# Mixed Fraction To Improper Fraction Converter

Converting mixed fractions to improper fractions is an essential skill in mathematics. This process simplifies fractions and makes them easier to work with in various mathematical operations. Our mixed fraction to improper fraction converter simplifies this process, providing a seamless solution for students and educators alike.

### What is a mixed number?

A mixed fraction comprises a whole number and a proper fraction, such as $2\frac{1}{3}$

where 2 is the whole number and $\frac{1}{3}$ is the fraction.

### What is an improper fraction?

An improper fraction has a numerator that is equal to or greater than its denominator, like $\frac{7}{4}$, where 7 is greater than 4.

### Why use a mixed fraction to improper fraction converter?

Converting mixed fractions to improper fractions simplifies mathematical operations, making them easier to perform and understand. It's a fundamental skill in mathematics.

### When to use a mixed fraction to improper fraction converter?

You'd use this converter whenever you encounter mixed fractions and need to simplify them for calculations or comparisons.

### Where to use a mixed fraction to improper fraction converter?

This converter finds application in various mathematical contexts, including arithmetic, algebra, and geometry.

### Converter Formula:

To convert a mixed fraction (a $\frac{b}{c}$ ) to an improper fraction:

`$\mathrm{Improper Fraction}=\left(a×c\right)+\frac{b}{c}$`

### Examples:

Example 1:

Convert $3\frac{1}{2}$ to an improper fraction.

Solution: (3 × 2) + $\frac{1}{2}$

Answer = $\frac{7}{2}$

Example 2:

Convert $4\frac{3}{5}$ to an improper fraction.

Solution: (4 × 5) + $\frac{3}{5}$

Answer = $\frac{\mathrm{22}}{5}$

Example 3:

Convert $2\frac{4}{9}$ to an improper fraction.

Solution: (2 × 9) + $\frac{4}{9}$

Answer = $\frac{\mathrm{22}}{9}$