1.1.8 Adding & Subtracting Fractions

Lesson 1.1.8:
Adding & Subtracing Fractions

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​Materials:
Calculator and Printed Guided Notes (Optional)

Poll

Choose the representation that you think does not belong. (Be prepared to defend your choice.)

• A

• B

• C

• D

​From last lesson...Recall:

Categorize

Options (4)

$$4\frac{3}{5}-1\frac{2}{5}$$  

$$\frac{5}{7}+\frac{4}{7}$$  

$$\frac{1}{3}+\frac{1}{2}$$  

$$3\frac{5}{8}-1\frac{15}{16}$$  

Sort the following expressions into the correct categories of fractions with common denominators and fractions with unlike denominators.

HINT:

A common denominator is the same denominator shared by two or more fractions.

When fractions have different denominators, they are unlike or uncommon denominators.

common denominators

unlike denominators

1.1.8 Notes in OneNote
(Open in a new tab.)

Show me your skills!

Draw

Add (Please show your work by using your touchscreen and drawing in the space provided.):

$$-\frac{10}{18}+\frac{11}{9}$$

Draw

Subtract (Please show your work by using your touchscreen and drawing in the space provided.):

$$3\frac{1}{2}-2\frac{1}{9}$$

Multiple Choice

Read the problem: Dante is making a scarf out of a fabric piece that is $$4\frac{7}{9}$$ feet long. He wants the scarf to be $$3\frac{2}{5}$$ feet long. Do we need to subtract or add to figure out how much fabric Dante needs to trim off?

• Add

• Subtract

Multiple Choice

Dante is making a scarf out of a fabric piece that is $$4\frac{7}{9}$$ feet long. He wants the scarf to be $$3\frac{2}{5}$$ feet long. How much does Dante need to trim the fabric piece to make it the correct length for the scarf?

• $$8\frac{8}{45}$$ feet

• $$1\frac{17}{45}$$ feet

• $$1\frac{62}{153}$$ feet

Multiple Choice

Dante is making a scarf out of a fabric piece that is $$4\frac{7}{9}$$ feet long. He wants the scarf to be $$3\frac{2}{5}$$ feet long. How much does Dante need to trim the fabric piece to make it the correct length for the scarf?

• $$8\frac{8}{45}$$ feet

• $$1\frac{17}{45}$$ feet

• $$1\frac{62}{153}$$ feet

Draw

Subtract (Draw your work):

$$\frac{16}{4}-\frac{12}{8}$$

Draw

Subtract (Draw your work):

$$\frac{5}{8}-\frac{3}{2}$$

Math Response

Use the fraction button on the right or use "/" key on your keyboard to enter your answer to:
$$\frac{3}{8}+\left(-\frac{15}{8}\right)$$

Type answer here

Correct Answer: -1\frac{1}{2}

Deg^°

Rad

Math Response

Use the fraction button on the right or use "/" key on your keyboard to enter your answer to:
$$-\frac{3}{4}-\left(-1\frac{3}{8}\right)$$

Type answer here

Correct Answer: \frac{5}{8}

Deg^°

Rad

Reorder

If you are making a fruit bread and accidentally put cups of flour in the empty bowl when only cups of flour were needed.

How many cups of flour do you need to take out? Drag the steps to sort in order from first to last, changing the mixed numbers to improper fractions to subtract.
1st step -----------------> Last step

• $$3\frac{5}{7}-2\frac{1}{3}$$

• $$\frac{26}{7}-\frac{7}{3}$$

• $$\frac{26}{7}\left(\frac{3}{3}\right)-\frac{7}{3}\left(\frac{7}{7}\right)$$

• $$\frac{78}{21}-\frac{49}{21}$$

• $$\frac{29}{21}=1\frac{8}{21}$$

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Match

Match each expression to its correct product or quotient.

• $$0.3\cdot\left(2.7\right)$$

• $$0.24\div8$$

• $$1.6\div0.1$$

• $$1.8\cdot\left(0.01\right)$$

0.81

0.03

16

0.018

• 0.81

• 0.03

• 16

• 0.018