Chapter 4, Problem 5PSQ

To determine

To write mixed number in improper fraction $8\frac{5}{6}$

Answer to Problem 5PSQ

  $\frac{53}{6}$

Explanation of Solution

Given information:

Expression $8\frac{5}{6}$

Calculation:

To convert a mixed number to improper fraction, follow the following steps.

1. Multiply the whole number part by the fraction's denominator.
2. Add that to the numerator.
3. Then write the result on top of the denominator.

In Step 1, multiply whole number 6 with the denominator 8. This will give us 48.

In Step 2, add this to the numerator. Hence 48+5=53

In Step 3, our result becomes the new numerator, hence 53

  $8\frac{5}{6}=\frac{\left(6\times 8\right)+5}{6}=\frac{53}{6}$

Conclusion-

  $\frac{53}{6}$