Decomposing Mixed Numbers: A 4th Grade Math Challenge

What does 'decomposing' mean in the context of fractions?

• Combining fractions into a whole number

• Breaking a fraction into smaller parts

• Multiplying fractions

• Finding the reciprocal of a fraction

What is a mixed number?

• A number with only whole parts

• A fraction greater than one

• A number with only fractional parts

• A number combining whole numbers and fractions

How many parts did we decompose 2 and 1/4 into for the first example?

• Five parts

• Two parts

• Three parts

• Four parts

What is another way to write 2 and 1/4 as a sum of fractions?

• 4/4 + 4/4 + 1/4

• 5/4 + 4/4

• 2/4 + 2/4 + 1/4

• 3/4 + 3/4 + 1/4

How can 9 fourths be decomposed into two parts?

• 6/4 + 3/4

• 5/4 + 4/4

• 8/4 + 1/4

• 7/4 + 2/4

What is the sum of 6/4 and 3/4?

• 10/4

• 9/4

• 7/4

• 8/4

How many parts did we decompose 2 and 1/4 into for the final example?

• Five parts

• Two parts

• Three parts

• Four parts

What combination of fractions adds up to 9/4 in the final example?

• 6/4 + 1/4 + 1/4 + 1/4

• 5/4 + 2/4 + 1/4 + 1/4

• 3/4 + 3/4 + 2/4 + 1/4

• 4/4 + 2/4 + 2/4 + 1/4

What does 9/4 equal in mixed number form?

• 1 and 1/2

• 1 and 3/4

• 2 and 1/4

• 2 and 1/2

Why is it useful to decompose fractions?

• To convert fractions to whole numbers

• To find the greatest common divisor

• To simplify addition and subtraction of fractions

• To make fractions more complex