Mixed-Improper Conversion Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Convert 5385\frac{3}{8} to an improper fraction.

Solution

  1. 1
    Multiply whole by denominator: 5×8=405 \times 8 = 40.
  2. 2
    Add numerator: 40+3=4340 + 3 = 43. Result: 438\frac{43}{8}.

Answer

438\frac{43}{8}
Apply the conversion formula directly: multiply the whole number by the denominator, add the existing numerator, and write the result over the same denominator.

About Mixed-Improper Conversion

The process of converting between mixed-number form and improper-fraction form, which represent the same value.

Learn more about Mixed-Improper Conversion →

More Mixed-Improper Conversion Examples

Example 1 easy

Convert [formula] to an improper fraction.

Example 2 medium

Convert [formula] to a mixed number, then verify by converting back to an improper fraction.

Example 4 hard

Subtract [formula] by first converting to a common form.

← All Mixed-Improper Conversion Examples Mixed-Improper Conversion Concept