Problem 11 - Introductory Algebra for College Students

Question

Convert each improper fraction to a mixed number. $$\frac{711}{20}$$

Step-by-Step Solution

Answer

The improper fraction \(\frac{711}{20}\) can be converted into the mixed number \(35\frac{11}{20}\)

Step 1: Divide the numerator by the denominator

Divide the numerator 711 by the denominator 20. This will result in a whole number and potentially a remainder. Use the whole part of the result as the whole number part of the mixed number.

Step 2: Use division remainder as new numerator

If the division performed in step 1 leaves a remainder, use this remainder as the numerator in the faction part of the mixed number. The denominator stays the same as in the original improper fraction.

Step 3: Present the Result as a Mixed Number

Combine the whole number from step 1 and the fraction from step 2 to represent the result as a mixed number.