Decomposing Fractions into Unit Fractions

Fraction Review

By Adrian Smallwood

Decomposing Fractions

Decompose

Break down into smaller parts

Some text here about the topic of discussion

Making Mixed Numbers

Unit Fractions

Fractions that have a numerator of 1.

Multiple Choice

Decompose the fraction ⁴/₈ into unit fractions.

• ²/₈ + ²/₈
• ¹/₈ + ¹/₈ + ¹/₈ + ¹/₈
• ³/₈ + ¹/₈
• 4 + 8

Multiple Choice

How can ⁷/₃ be decomposed?

• ³/₃ + ³/₃ + ¹/₃

• ³/₃ + ³/₇

• ³/₃ + ¹/₇

• ³/₃ + ²/₃ + ¹/₃

Multiple Choice

How can ¹⁵/₆ be decomposed?

• ⁶/₆ + ⁶/₆ + ³/₆

• ¹/₅ + ¹/₆

• ¹⁵/₁₅ + ¹/₆

• ¹/₆ + ¹/₆

• ⁵/₆ + ⁵/₆ + ⁵/₆ + ¹/₆

Multiplying Fractions by Whole Numbers

Multiplying means you have equal groups.

3 x 4

means

3 groups of 4

5 x 2/3

means

5 groups of 2/3

Multiple Choice

What does 5 x ⅔ mean?

• 5 + ⅔

• 5 groups of ⅔

• 5 is greater than ⅔

• Split 5 into equal groups of ⅔

Multiple Choice

Two groups of ⅚ equals...

• ¹⁰/₆

• ¹⁰/₅

• ²/₆

• 2 ⁵/₆

Multiple Choice

Which expression can be solved using the number line?

• 4 x ²/₈
• 4 x ⁴/₈
• 2 x ¹/₈
• 2 x ³/₈

Multiple Choice

Which equation is modeled in the picture?

• 3 x ²/₄ = ⁶/₄

• 3 x ¹/₄ = ³/₄

• 3 x 3 = 9

Mixed Numbers

Some text here about the topic of discussion

A whole number and fraction mixed together.

Multiple Select

Solve for the answer of the attached image.

Select all that apply.

• ¹⁹/₂₄

• 2 ³/₈

• ¹⁹/₈

• 3 ³/₈

Multiple Select

Which of the following correctly models ⁸/₃?

Select all that apply.

Equivalent Fractions

Fractions can look different, but have the same value.

Some text here about the topic of discussion

We can calculate equivalent fractions by multiplying by fractions that equals one whole.

Multiple Select

The fraction ¹/₄ is equivalent to which of the following? Select all that apply.

• ¹/₈

• ³/₁₂

• ²/₈

• ²/₄

Multiple Choice

What should you multiply ²/₃ by in order to find an equivalent fraction with a denominator of 6?

Multiple Choice

What should you multiply ²/₃ by in order to find an equivalent fraction with a denominator of 9?

Multiple Choice

You have 2 cups of chocolate chips. You need ⅓ cup of chocolate chips for each batch of cookies you are baking.

How many batches of cookies can you make with your chocolate chips?

• I can make 2 ¹/₃ batches of cookies.

• I can make 1 ²/₃ batches of cookies.

• I can make 6 batches of cookies.

• I can make 4 batches of cookies.

• I can make 5 batches of cookies.

Line plots are number lines with data.

The "Xs"​ represent the number of time the data repeats or reoccurs.

In this example, there are 4 Xs over the number 1; that means 4 students spent 1 hour on their homework.​

Line Plots

Multiple Choice

Use the line plot to answer the following question:
How many teachers are at least 6 feet tall?

• 1
• 2
• 3
• 4

Multiple Choice

What is the difference in height between the tallest and the shortest tomato plant?

• 4 ³/₄ inches

• 1 ²/₄ inches

• 2 inches

• 2 ²/₄ inches

• 5 ¹/₄ inches

Multiple Choice

What is the combined height of the three tallest plants?

• 15 ³/₄ inches

• 17 ¹/₄ inches

• 17 ³/₄ inches

• 18 ³/₄ inches

• 19 ²/₄ inches

Multiple Choice

What is the combined height of the three smallest plants?

• 14 inches

• 16 inches

• 13 ³/₄ inches

• 14 ³/₄ inches

• 15 ³/₄ inches

Multiple Choice

How many plants are taller than 5½ inches?

• 10

• 12

• 6 ³/₄

• 6

• 7