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Operations with Fractions Review

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Multiple Choice

What is a numerator?

• a whole number

• top number in a fraction

• bottom number in the fraction

• the term for a larger top number than bottom number

Multiple Choice

What word means: The bottom number of a fraction; number below the fraction bar.

• improper fraction
• whole number
• numerator
• denominator

Multiple Choice

The number in blue is a:
    7
   ----
   12

• mixed number
• numerator
• improper fraction
• denominator

Multiple Choice

The number in red is the:
4
---
 5

• numerator
• denominator
• improper fraction
• mixed number

Adding and Subtracting Fractions

When adding fractions, we need to have the same denominator.

If the denominators are the same already...

You can just add or subtract the numerators

Multiple Choice

$\frac{10}{12}-\frac{5}{12}$

• $$\frac{5}{12}$$

• $$\frac{15}{24}$$

• $$\frac{15}{12}$$

Multiple Choice

$$\frac{\text{4}}{\text{8}}+\frac{\text{1}}{\text{8}}$$  

• $$\frac{\text{5}}{\text{7}}$$

• $$\frac{\text{3}}{\text{7}}$$

• $$\frac{\text{5}}{\text{8}}$$

• $$\frac{\text{3}}{\text{8}}$$

Multiple Choice

Solve

• $$\frac{\text{5}}{\text{14}}$$

• $$\frac{\text{3}}{\text{7}}$$

• $$\frac{\text{5}}{\text{7}}$$

• $$\frac{\text{5}}{\text{14}}$$

Multiplying Fractions

Just multiply the numerators and then the denominators.

Multiple Choice

Find the product.

• 9/24

• 9/28

• 6/32

• 12/21

Multiple Choice

Find the product.

• 2/14

• 1/49

• 1

• 1/14

Dividing Fractions

Keep, Change, Flip

Keep the first fraction

Change to Multiplication

Flip the last fraction to the reciprocal

Multiple Choice

What is the reciprocal of $$\frac{7}{8}$$  ?

• 1

• $$\frac{14}{16}$$  

• $$\frac{8}{7}$$

• $$\frac{7}{8}$$

Multiple Choice

Find the reciprocal of $$\frac{7}{11}$$  

• 1 $$\frac{1}{7}$$  

• $$\frac{11}{11}$$  

• $$\frac{11}{7}$$  

• $$\frac{7}{7}$$  

Multiple Choice

What is the recriprocal of 4/5

• 4/5

• 5/4

• 5/1

• 1/5

Fraction Operations Review

By LK Stewart

ADDING FRACTIONS

It's not that bad. :)

If the denominators are the same, you're good to go.​

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Adding Fractions

​Some text here about the topic of discussion.

REMEMBER TO SIMPLIFY!

Multiple Choice

$$\frac{2}{9}+\frac{5}{9}$$  

• $$\frac{7}{18}$$  

• $$\frac{7}{9}$$  

• $$\frac{10}{18}$$  

• $$\frac{10}{9}$$  

What if they have different denominators?

Find a common factor and multiply to get equal denominators.

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*If you're not sure, multiply the bottom and top by the opposite denominator!

Multiple Choice

$$\frac{3}{4}+\frac{1}{6}$$  

• $$\frac{4}{10}$$  

• $$\frac{2}{5}$$  

• $$\frac{11}{12}$$  

• $$\frac{7}{12}$$  

Multiple Choice

$$\frac{1}{12}+\frac{5}{6}$$  

• $$\frac{1}{3}$$  

• $$\frac{5}{12}$$  

• $$\frac{6}{18}$$  

• $$\frac{11}{12}$$  

If the denominators are the same, you're good to go.​

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Subtracting Fractions

Multiple Choice

$$\frac{19}{20}-\frac{12}{20}$$  

• $$\frac{6}{20}$$  

• $$\frac{7}{0}$$  

• $$\frac{0}{20}$$  

• $$\frac{7}{20}$$  

What if they have different denominators?

Find a common factor and multiply to get equal denominators.

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*If you're not sure, multiply the bottom and top by the opposite denominator!

Multiple Choice

$$\frac{8}{9}-\frac{2}{3}$$  

• $$\frac{6}{6}$$  

• $$\frac{6}{9}$$  

• $$\frac{2}{9}$$  

• $$\frac{4}{9}$$  

Multiple Choice

$$\frac{11}{15}-\frac{2}{5}$$  

• $$\frac{3}{5}$$  

• $$\frac{9}{10}$$  

• $$\frac{5}{10}$$  

• $$\frac{1}{3}$$  

INTEGER RULES: They're still a thing.

ADDITION:

Same sign: add and keep

Different signs: subtract​

SUBTRACTION:

Rewrite as addition using LCO

Multiple Choice

Calculate $$-\frac{2}{5}+\left(-\frac{1}{5}\right)$$  

• $$-\frac{3}{5\ }$$  

• $$-\frac{1}{5\ }$$  

• $$\frac{1}{5\ }$$  

• $$\frac{3}{5\ }$$  

Multiple Choice

Calculate $$\frac{2}{3}-\left(-\frac{4}{3}\right)$$  

• $$-\frac{2}{3}$$  

• -2

• 2

• 3

Multiple Choice

Calculate $$-\frac{3}{5\ }+\left(-\frac{1}{3}\right)$$  

• $$-\frac{4}{15}$$  

• $$\frac{14}{15}$$  

• $$-\frac{14}{15}$$  

• $$-\frac{3}{8}$$  

Multiply straight across and simplify.

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Multiplying

Fractions

Multiple Choice

Calculate $$-\frac{3}{5\ }\times\left(-\frac{1}{3}\right)$$  

• $$\frac{3}{15}$$  

• $$-\frac{3}{15}$$  

• $$-\frac{1}{5}$$  

• $$\frac{1}{5}$$  

Multiple Choice

Calculate $$\frac{7}{8}\times\frac{11}{14}$$  

• $$\frac{11}{16}$$  

• $$\frac{77}{112}$$  

•   $$\frac{88}{98}$$

• $$\frac{9}{17}$$

Keep Change Flip

Multiply

Simplify

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Dividing

Fractions

Multiple Choice

Calculate $$\frac{3}{4}\div\frac{2}{5}$$  

•   $$1\ \frac{7}{8}$$

• $$\frac{6}{20}$$  

• $$\frac{3}{8}$$

• $$\frac{8}{15}$$

Multiple Choice

Calculate $$\frac{\frac{8}{9}}{-\frac{1}{2}}$$  

• $$-1\ \frac{7}{9}$$

• $$-\frac{7}{9}$$

• $$-\frac{4}{9}$$

• $$-\frac{9}{16}$$

Skill Review:

Fraction Operations: multiplication and division

Multiple Choice

$$\frac{6}{27}$$  

Simplify!

• $$\frac{2}{9}$$  

• $$\frac{1}{3}$$  

• $$\frac{3}{9}$$  

• Already in simplest form. 

• $$\frac{1}{7}$$  

Fraction multiplication is our favorite fraction operation: multiply numerators, multiply denominators

simplify if needed!

Multiple Choice

Evaluate  $$\frac{2}{5}\cdot\frac{7}{11}$$  

• $$\frac{21}{55}$$  

• $$\frac{14}{55}$$  

• $$\frac{14}{50}$$  

• $$\frac{21}{50}$$  

Multiple Choice

Evaluate  $$\frac{5}{9}\cdot\frac{2}{3}$$  

• $$\frac{7}{12}$$  

• $$\frac{15}{18}$$  

• $$\frac{5}{6}$$  

• $$\frac{10}{27}$$  

• $$\frac{10}{24}$$  

Multiple Choice

Evaluate  $$\frac{2}{11}\times3$$  

remember: we can give any whole number a denominator of 1! 

• $$\frac{6}{33}$$  

• $$\frac{6}{11}$$  

• $$\frac{2}{33}$$  

• $$\frac{5}{16}$$  

• $$\frac{5}{11}$$  

Fraction division is quite nice because we can rewrite a division statement as an equivalent multiplication statement.

: rewrite as "multiply by the reciprocal!" then continue & simplify if needed. Here is an example >

Multiple Choice

$$\frac{2}{5}\div\frac{3}{4}$$  = 

rewrite! 

• $$\frac{2}{5}\times\frac{4}{3}$$  

• $$\frac{2}{5}\times\frac{3}{4}$$  

• $$\frac{5}{2}\times\frac{3}{4}$$  

Multiple Choice

$$\frac{2}{5}\div\frac{3}{4}$$  =  $$\frac{2}{5}\times\frac{4}{3}=$$  ?

• $$\frac{6}{8}$$  

• $$\frac{8}{15}$$  

• $$\frac{5}{2}\times\frac{3}{4}$$  

• $$1$$  

Multiple Choice

$$\frac{2}{3}\div\frac{5}{6}$$  

• $$\frac{12}{30}$$  

• $$\frac{5}{9}$$  

• $$\frac{10}{18}$$  

• $$\frac{4}{5}$$  

• $$=\frac{15}{12}=\ \frac{5}{4}$$  

Multiple Choice

$$\frac{2}{3}\div5$$  

• $$\frac{10}{3}$$  

• $$\frac{10}{15}$$  

• $$\frac{2}{15}$$  

• $$\frac{2}{3}$$  

Multiple Choice

$$6\div\frac{3}{4}$$  

• $$\frac{18}{24}$$  

• $$\frac{24}{18}$$  

• $$\frac{1}{8}$$  

• $$8$$  

• $$\frac{3}{4}$$