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Envision Math 2.0: Grade 6, Volume 2

EM

Envision Math 2.0: Grade 6, Volume 2 View details

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Exercise 9 Page 255

If you multiply or divide the numerator and denominator of a fraction by the same number, you will get an equivalent fraction.

Example Fractions: 4/6 and 34/51

Practice makes perfect

Let's recall the definition of equivalent fractions.

Equivalent Fractions
Fractions that name the same amount.

We are asked to write two fractions equivalent to the given fraction.

Given Fraction	Equivalent Fraction	Equivalent Fraction
2/3	?	?

First, let's visualize the given fraction.

Notice that the red area covers 23 of the circle. Now let's split the circle into twice as many parts!

Now we can see that the same red area also covers 46 of the circle. This means that 46 is equivalent to 23.

Given Fraction	Equivalent Fraction	Equivalent Fraction
2/3	4/6	?

We can also find equivalent fractions by multiplying or dividing the numerator and denominator by the same number. Let's use this method to find another equivalent fraction! For example, we can multiply the numerator and the denominator by 17.

2/3

a/b=a * 17/b * 17

2*17/3* 17

Multiply

34/51

We found that 3451 is equivalent to 23.

Given Fraction	Equivalent Fraction	Equivalent Fraction
2/3	4/6	34/51

Keep in mind that these are only examples of fractions equivalent to 34. There are infinitely many more!

Subchapter links

Review What You Know! p.255