Problem 10 - Introductory Algebra for College Students

Question

Convert each improper fraction to a mixed number. $$\frac{59}{9}$$

Step-by-Step Solution

Answer

The mixed number form of the improper fraction \( \frac{59}{9} \) is 6 \( \frac{5}{9} \).

Step 1: Carry out division

Using long division, divide the numerator (59) by the denominator (9) which results to 6 remainder 5, because 6 times 9 equals 54, and subtracting 54 from 59 leaves a remainder of 5.

Step 2: Write in mixed number format

The whole number part of the mixed number representation is the quotient of the division (6). The fraction part has a numerator equal to the remainder (5) and a denominator the same as that of the improper fraction (9). Therefore, the mixed number form of the improper fraction \( \frac{59}{9} \) is 6 \( \frac{5}{9} \).