CPM Homework Help : ACC6 Problem 3-62

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Home > ACC6 > Chapter 3 Unit 11 > Lesson CC2: 3.2.3 > Problem 3-62

3-62.

Simplify the following fraction expressions. Show all of your work.

$\frac{5}{6}+\frac{1}{4}$
Step 1 (a):
Draw diagrams to represent each fraction.
Step 2 (a):
Now change the diagram so that each whole is divided into equal portions.

$\frac{7}{12}-\frac{2}{5}$
Hint (b):
Follow the steps in part (a) to solve the problem.

$\frac{3}{8}\cdot\frac{2}{3}$
Hint (c):
Draw a rectangle. A rectangle divided into 24 equal sections arranged in 3 rows and 8 columns.
Step 1 (c):
Shade in three eighths. The same rectangle with three sections shaded in each row.
Step 2 (c):
Shade in two thirds in the other direction. The same rectangle with 2 rows lightly shaded, and 6 sections, in those 2 rows, are shaded dark.
Answer (c):
The darker overlapping region is your answer.

$\frac{4}{5}\cdot\frac{7}{8}$
Hint (d):
See part (c).
Answer (d):
$\frac{28}{40}$
Remember to reduce your answer.

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