CPM Homework Help : MC1 Problem 6-71

Calculate each of the following parts of parts.

$\frac { 2 } { 3 } \text { of } \frac { 3 } { 7 }$

Step 1 (a):
Draw a diagram to represent three sevenths. A rectangle divided into 7 equal vertical parts, with the first 3 parts shaded.
Step 2 (a):
Since the green shaded region is three pieces, you can see that two thirds of this region would be the orange shaded region. The first 2 parts change from being shaded green to being shaded orange.
Answer (a):
$\frac{2}{7}$

$\quad \frac { 1 } { 2 } \text { of } \frac { 3 } { 5 }$

Hint (b):
At right is a diagram representing one half of three fifths. Use it to help you find the answer to this problem.

Rectangle divided vertically into 5 equal sections, the second section from the left has a vertical segment dividing it in half, first section and left half are shaded purple, right half and third section are shaded blue.