Comparing Fractions with Common Denominators and Common Numerators

Convert both fractions into equivalents with the same denominator by finding the lowest common multiple. Then focus on the numerators. This method works for...

• comparing, ordering, adding and subtracting fractions.

• comparing and ordering fractions only.

• adding and subtracting fractions only.

• Finding a fraction of an amount.

Answer explanation

Comparing equivalent fractions with common denominators or common numerators is another strategy for fractions that are difficult to compare.

• true

• false

Choose all strategies used to compare fractions.

• Draw models (number lines, fractions bars/circles).

• Create equivalent fractions with common denominators.

• Add the numerators and denominators. Then compare each.

• Cross multiplication (butterfly method).

• 6

• 7

• 12

• 4

2 fourths ______ 2 halves

How can you compare fractions with like denominators?

• By adding the numerators

• By ignoring the denominators

• By comparing the size of the parts

• By comparing the number of parts (numerators)

Look at the shaded model.  Which number sentence is true?

• 1/8<3/8

• 3/8<1/8

• 7/8<5/8

• 5/8>1/8

• Less than <

• Greater than >

• Equal to =

1/2​ ​ (a)   5/10

• =

• <

• <