Problem 8 - Introductory Algebra for College Students

Question

Convert each improper fraction to a mixed number. $$\frac{47}{8}$$

Step-by-Step Solution

Answer

The mixed number equivalent of the improper fraction \(\frac{47}{8}\) is 5 and \(\frac{7}{8}\).

Step 1: Find the Quotient and Remainder

First, divide the numerator by the denominator. 47 divided by 8 gives a quotient of 5 and a remainder of 7. The quotient becomes the whole number in the mixed number, and the remainder will be the numerator in the fraction part of the mixed number.

Step 2: Form the Mixed Number

Place the quotient, 5, as the whole number. Then, place the remainder, 7, as the numerator of the fractional part and keep the denominator same, which is 8. So, the mixed number becomes 5 and \(\frac{7}{8}\).