Go through the Math in Focus Grade 5 Workbook Answer Key Chapter 4 Multiplying and Dividing Fractions and Mixed Numbers to finish your assignments.

## Math in Focus Grade 5 Chapter 4 Answer Key Multiplying and Dividing Fractions and Mixed Numbers

**Math Journal**

**Rachel drew a model to solve this problem:**

Earl pours \(\frac{1}{3}\) of a bottle of juice into his glass. Roberto pours \(\frac{1}{3}\) of the remainder into his glass. What fraction of the bottle of juice is left?

\(\frac{1}{3}\) of the bottle of juice is left.

Did Rachel solve the problem correctly? Explain.

Answer:

Yes. Rachel solve the problem correctly

Explanation:

\(\frac{1}{3}\) + \(\frac{1}{3}\) = \(\frac{2}{3}\)

1 – \(\frac{2}{3}\) = \(\frac{1}{3}\)

**Put on Your Thinking cap**

**Challenging Practice**

An art teacher has a box of markers. She keeps half of the markers in the box and gives \(\frac{1}{3}\) of the other half to group A. The remaining markers were shared equally among the 8 students in group B. What fraction of the whole box does each of the students in group B get?

Answer:

She keeps\(\frac{1}{2}\) \(\frac{3}{6}\) in the box, gives \(\frac{1}{3}\) of half (\(\frac{1}{6}\) of box) to

Group A., the remaining \(\frac{2}{3}\) of a half box (\(\frac{2}{6}\) of box) to Group B.

Each student gets \(\frac{1}{8}\) of \(\frac{2}{6}\) of the box:

.

\(\frac{1}{8}\) x \(\frac{2}{6}\) = \(\frac{2}{48}\) = \(\frac{1}{24}\)

Explanation:

Each Group B student gets \(\frac{1}{24}\) of the box.

**Put On Your Thinking Cap**

**Problem Solving**

Mimi’s Market sold 24 heads of lettuce one morning. That afternoon \(\frac{2}{7}\) of the remaining heads of lettuce were sold. The number of heads left was now \(\frac{1}{2}\) of the number the market had at the beginning of the day. How many heads of lettuce were there at the beginning of the day?