# Convert Between Improper Fractions and Mixed Numbers

A mixed number has a fraction and a whole number**.**

An improper fraction has a numerator that equals or is higher than the denominator. It can be represented via a mixed number.

**Step by step to convert an improper fraction to a mixed number:**

**Step 1:** Divide the numerator by its denominator. The result is the whole number, and whatever remains is the new fraction’s numerator.**Step 2:** The denominator of the new fraction is the same number as the original denominator.**Step 3: **If there is no remainder, there is no fraction so a resulting number is a whole number.

**Convert Between Improper Fractions and Mixed Numbers – Examples 1**

Write \(4 \frac{3}{4}\) as an improper fraction.**Solutions:****Step 1: **Multiply the whole number in the denominator. \(4×4\)**Step 2:** Add the result to the numerator and write in the numerator. 16+3**Step 3:** The denominator is the same as the mixed number. 4

\(4 \frac{3}{4}=\frac{(4×4)+3}{4}=\frac{19}{4}\)

**Convert Between Improper Fractions and Mixed Numbers – Examples 2**

Write \(\frac{63}{8}\) as a mixed fraction.**Step 1:** Divide the numerator by the denominator. \(61÷8\)**Step 2:** The whole number is 7.**Step 3: **The rest is the new fraction’s numerator 5.

\(\frac{61}{8}=\frac{(8×7)+5}{8}=7 \frac{5}{8}\)

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