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Understanding and Shading Fractions

Worksheet
Age 14
English

Understanding and Shading Fractions

Activity 1: Shading Simple Fractions

Carefully read the fraction next to each shape. Use a pencil to shade in the correct amount of the shape.
1.1 Shade

of this rectangle:
fig 1: A rectangle divided into 2 equal vertical sections
fig 1: A rectangle divided into 2 equal vertical sections


1.2 Shade

of this circle:
fig 2: A circle divided into 4 equal quadrants
fig 2: A circle divided into 4 equal quadrants



Activity 2: Naming the Shaded Fraction

Look at the shape below. Count how many parts are shaded and how many parts there are in total. Write the fraction that is shaded in the box provided.
fig 3: A square divided into four equal parts with one part shaded
fig 3: A square divided into four equal parts with one part shaded

The fraction shaded is:


_________




Activity 3: Shading Equivalent Fractions

Sometimes a shape is split into more parts than the denominator (bottom number) of our fraction.
Task: Shade

of the rectangle below.
Hint: The rectangle has 6 parts. Think about how many parts you need to shade so that it looks like one third is colored.
fig 4: A rectangle divided into 6 equal sections (2 rows of 3)
fig 4: A rectangle divided into 6 equal sections (2 rows of 3)



Activity 4: Fractions in Simplest Form

Follow the steps below to identify and simplify the fraction shown in the diagram.
fig 5: A rectangle divided into ten equal parts with four parts shaded
fig 5: A rectangle divided into ten equal parts with four parts shaded

Step A: What fraction of the shape is shaded?
Answer:

Step B: Now, simplify that fraction by dividing the top and bottom by 2.
Simplified Answer:



Activity 5: Problem Solving Challenge

Sam has a chocolate bar that is made of 12 equal squares.
Sam decides to give

of the chocolate bar to his friend, Alex.
A) How many squares of chocolate does Alex get?
Answer:

B) In the box below, draw a rectangle representing the chocolate bar (divided into 12 squares) and shade the amount Alex receives.