Equivalent Fractions to Compare

Module 9: Fraction Equivalents and Comparing Review

Equivalent Fractions

• Equivalent fractions are fractions that have the same value but may have different numerators and denominators.

  
  

Equivalent Fractions

• If the wholes are the same, and the portions of the whole that are shaded are the same size, then we can say that the fractions are equivalent. If the shaded portions of the wholes are different in size, then the fractions are not equivalent.

Finding Equivalent Fractions

• We can find equivalent fractions by partitioning the fraction strip into more parts. This fraction strip can be partitioned into eighths and even twelfths.

• Each of these fractions are the same size and represent the same fraction of the same whole. They are all equivalent.

Comparing Equivalent Fractions

The fractions 1/2 and 2/4 are related by their numerators and denominators.

Creating Equivalent Fractions using Multiplication

The numerator and denominator are multiplied by the same number, 2. We can take any written fraction and create an equivalent fraction by multiplying. What we do to the numerator must be done to the denominator.

Creating equivalent Fractions using Division

We know multiplication and division are related because they are inverse operations. Just like we can use multiplication to create new equivalent fractions, we can also use division to do the same thing.

Creating Equivalent Fractions using Division

Just like with multiplication, when we divide to find equivalent fractions, we must divide the numerator by the same number that we divide the denominator.

Benchmark Fractions

Benchmark fractions are common fractions that are used for comparison to other numbers. Some examples are 12 and 14 . We use benchmark fractions to help when comparing two different fractions. It is important to remember that this only works when the fractions are the same whole.

Comparing Fractions

We can compare the fractions to find which is greater, less, or equal.

Creating Common Denominators

Comparing fractions can also be done using multiplication. If the fractions have different denominators, we first need to make them the same. We do this by finding a common multiple for the denominators. Then, multiply the numerator and denominator of each fraction by the same number to make the equivalent fractions with common denominators.

Remember that this only works with fractions that represent parts of the same whole. We can show that 1/2 is greater than 1/4 by using fraction models that represent the same whole.

Word Work

• multiple - a product of a given whole number and any other whole number

• fraction models- a visual model showing a fraction as a part of a whole

• factor- numbers that we can multiply together to get another number

• equivalent- equal in value

Word Work

• common multiple- a multiple that two or more numbers share

• common denominator- fractions having the same denominator

• equivalent fraction- fractions that have the same value but may have different numerators and denominators

Word Work

• inverse operation- the operation that reverses the effect of another operation

• benchmark fraction- a common fraction that is used for comparison to other numbers

• unit fraction- a fraction where the numerator is 1

Multiple Choice

Choose the fraction below that is equivalent to this fraction model.

• 5/6

• 4/5

• 3/4

• 1/2

Multiple Choice

Choose the fraction below that is equivalent to this fraction model.

• 5/6

• 4/5

• 3/4

• 1/2

Multiple Choice

Choose the fraction below that is equivalent to this fraction model.

• 4/5

• 3/4

• 5/6

• 1/2

Multiple Choice

Choose the fraction below that is equivalent to this fraction model.

• 5/6

• 4/5

• 3/4

• 1/2

Multiple Choice

Choose the numerator that will make these fractions equivalent.

• 5

• 6

• 8

• 2

Multiple Choice

Choose the denominator that will make these fractions equivalent.

• 6

• 32

• 24

• 4

Multiple Select

Select all of the fractions that are less than the benchmark fraction 1/2.

• 7/8

• 3/8

• 1/4

• 6/10

• 4/6

Multiple Select

Select all of the fractions that are greater than the benchmark fraction 1/2.

• 7/8

• 1/4

• 2/6

• 6/10

• 3/4

Multiple Choice

Select the fraction pair that is equivalent to the pair 5/6 & 2/10.

• 50/60 & 12/60

• 4/8 & 6/8

• 8/20 & 5/20

• 5/12 & 8/12

Multiple Choice

Select the fraction pair that is equivalent to the pair : 5/12 & 2/3

• 8/20 & 5/20

• 5/12 & 8/12

• 50/60 & 12/60

• 4/8 & 6/8

Multiple Choice

Select the fraction pair that is equivalent to the pair : 2/4 & 6/8

• 8/20 & 5/20

• 5/12 & 8/12

• 4/8 & 6/8

• 50/60 & 12/60

Multiple Choice

Select the fraction pair that is equivalent to the pair: 2/5 & 1/4.

• 50/60 & 12/60

• 5/12 & 8/12

• 8/20 & 5/20

• 4/8 & 6/8

Multiple Select

Select all the number lines that have been shaded to represent fractions equivalent to 2/3.