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Introduction to Fractions

Part B – Creating Equivalent Fractions

Fractions can be written in many ways, all of which represent the same value. Fractions

that represent the same value are called equivalent fractions.

For example, in Figure 1.3 we sliced a

whole pizza into two pieces. In figure

1.4 we sliced a whole pizza into four

equal pieces.

Even though the pieces are different in

size, they are equivalent fractions

because they are both equally shaded.

Figure 1.4

Figure 1.3

×4

×5

×2

×3

To create equivalent fractions, multiply the

×2

×3

×4

×5

numerator and denominator by the same

number.

How does this work?

×2

1) If we cut this

2) By multiplying the numerator and

piece in half, then

denominator by 2, we are cutting our 8

we have 2 smaller

Figure 1.6

Figure 1.7

portions into 16 portions. Nonetheless, we

pieces.

still have the same amount of shaded area.

× 3

Example 1: Find the missing number in,

to create an equivalent fraction.

Remember, equivalent fractions are converted by multiplying the numerator and the

denominator by the same number. Thus, our goal is to find that number.

× 3

Tutoring and Learning Centre, George Brown College 2013

Introduction To Fractions Worksheets With Answer Key - Tutoring And Learning Centre, George Brown College - 2013 Page 2