Problem 7 - Introductory Algebra for College Students

Question

Convert each improper fraction to a mixed number. $$\frac{23}{5}$$

Step-by-Step Solution

Answer

The mixed number equivalent of the improper fraction \(\frac{23}{5}\) is 4 \(\frac{3}{5}\).

Step 1: Identifying the Fraction

We are given the improper fraction \(\frac{23}{5}\). The objective is to convert this improper fraction into a mixed number.

Step 2: Division

To convert the improper fraction into a mixed number, divide the numerator (23) by the denominator (5). The quotient is the whole number part of the mixed number and the remainder becomes the numerator of the fractional part. 23 divided by 5 equals 4 remainder 3.

Step 3: Writing the Result

The mixed number is written as the quotient with the remainder over the original denominator. Therefore, the equivalent mixed number is 4 and \(\frac{3}{5}\).