4.3C Converting Between Mixed and Improper Fractions

What is a fraction?

• A fraction is equal parts of a whole

• When we divide a whole into equal parts, each part is one unit fraction of the whole. 

Parts of a Fraction

• Numerator - top #

• Denominator - bottom #

• Fractions can be represented on a number line as well

Examples of Real-Life Fractions

These fractions all have equal-sized pieces.

Non-Examples of Fractions (Bad examples)

These models do NOT have

equal-sized pieces!

Proper Fractions

The numerator is less than the denominator. (A fraction that is not full.)

Improper Fractions

The numerator is greater than or equal to the denominator. (A fraction that can make WHOLE fractions.)

Mixed Fractions/

Mixed Numbers

Mixed fractions consist of a whole number along with a proper fraction.

Multiple Choice

1.The BOTTOM part of the fraction is known as

• whole number

• numerator

• denominator

Multiple Choice

1.The TOP part of the fraction is known as

• whole number

• numerator

• denominator

Multiple Select

Select ALL of the IMPROPER fractions

Note: an improper fraction is a fraction that is NOT less than 1 whole!

• $$\frac{4}{5}$$

• $$\frac{5}{4}$$

• $$\frac{12}{1}$$

• $$\frac{1}{6}$$

• $$\frac{4}{4}$$

Multiple Choice

What is the IMPROPER fraction that matches this model?

• 3 2/5

• 3 5/7

• 26/7

• 26/5

Multiple Choice

What is the MIXED NUMBER that this model represents?

• 3 5/8

• 3 5/3 

• 3 3/5

• 3 3/8

Multiple Choice

What is the IMPROPER fraction this model represents?

• 20/4

• 21/4

• 16/4

• 21/3

Improper Fractions to Mixed Numbers

• Divide

• Quotient becomes your WHOLE NUMBER

• Remainder becomes your Numerator

• Denominator stays the SAME

Multiple Choice

What does the bar in a fraction mean?

• Divide

• Multiply

• Add

• Subtract

Drag and Drop

$$\frac{13}{5}$$ =

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=​

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Drag these tiles and drop them in the correct blank above

13

5

2

3

Drag and Drop

$$\frac{7}{2}$$ =

Placeholder

$$\div$$ ​

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=​ ​

Placeholder

r​ ​

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Drag these tiles and drop them in the correct blank above

7

2

3

1

Drag and Drop

$$\frac{20}{4}$$ =

Placeholder

$$\div$$ ​

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=​ ​

Placeholder

r​ ​

Placeholder

Drag these tiles and drop them in the correct blank above

20

4

5

0

Multiple Choice

To change an improper fraction to a mixed number, what should you do?

• Divide the numerator by the denominator.

• Multiply the numerator and the denominator.

• Add the numerator and the denominator.

• Subtract the numerator from the denominator.

Multiple Choice

Where does the WHOLE number come from in the mixed number?

• The quotient (how many full fractions we can make)

• The remainder at the end.

• The divisor (outside the house)

• The dividend (inside the house)

Multiple Choice

Where does the numerator come from after you convert from an improper fraction to a mixed number?

• The quotient (how many full fractions we can make)

• The remainder at the end.

• The divisor (number outside the house).

• The dividend (number inside the house).

Multiple Choice

What should you do with the denominator after you convert the fraction from improper to mixed number?

• Keep it the same

• Change to a common denominator

Multiple Choice

Convert from improper fraction to mixed number $$\frac{23}{4}$$  

• $$5\frac{3}{4}$$  

• $$4\frac{3}{4}$$  

• $$4\frac{2}{4}$$  

• $$\frac{3}{4}$$  

Multiple Choice

$$\frac{32}{5}$$  Convert to a mixed number

• $$2\frac{5}{6}$$  

• $$5\frac{5}{6}$$  

• $$6\frac{2}{5}$$  

• 5

Multiple Choice

Convert from improper fraction to mixed number $$\frac{16}{7}$$  

• $$2\frac{2}{7}$$  

• $$1\frac{2}{7}$$  

• $$2\frac{1}{7}$$  

• $$\frac{2}{7}$$  

Multiple Choice

$$\frac{20}{2}$$  Convert to a mixed number

• $$2\frac{5}{10}$$  

• $$2\frac{0}{2}$$  

• 5

• 10

To convert a mixed number to an improper fraction :

• Multiply the whole number times the denominator and add the numerator. This gives you your new Numerator.

• THE DENOMINATOR WILL ALWAYS STAY THE SAME!

Multiple Choice

To convert a mixed number to an improper fraction you:

• Multiply the whole number and put it on the top.

• Multiply the whole number times the denominator then add the numerator to get the new numerator. The denominator stays the same.

• Multiply the numerator and denominator to get the new numerator. The denominator stays the same.

Multiple Choice

$$4\ \frac{2}{3}$$  as an improper fraction is?

• $$\frac{12}{3}$$  

• $$\frac{14}{3}$$  

• $$\frac{14}{2}$$  

• $$\frac{15}{3}$$  

Multiple Choice

$$6\ \frac{7}{8\ }$$  as an improper fraction is?

• $$\frac{48}{7}$$  

• $$\frac{55}{8}$$  

• $$\frac{55}{7}$$  

• $$\frac{48}{7}$$  

Multiple Choice

Convert the Mixed Number to an Improper Fraction. 

$$3\ \frac{4}{6}$$  

• $$\frac{12}{6}$$  

• $$\frac{28}{6}$$  

• $$\frac{22}{4}$$  

• $$\frac{22}{6}$$  

Multiple Choice

Convert the Mixed Number to an Improper Fraction. 

$$5\ \frac{3}{5}$$  

• $$\frac{13}{5}$$  

• $$\frac{28}{5}$$  

• $$\frac{25}{5}$$  

• $$\frac{28}{3}$$  

Multiple Choice

Convert the Mixed Number to an Improper Fraction.  $$7\ \frac{2}{4}$$  

• $$\frac{28}{4}$$  

• $$\frac{30}{7}$$  

• $$\frac{30}{4}$$  

• $$\frac{23}{4}$$  

Multiple Choice

• $$\frac{5}{22}$$  

• $$\frac{12}{2}$$  

• $$\frac{12}{4}$$  

• $$\frac{12}{5}$$  

Multiple Choice

• $$\frac{11}{2}$$  

• $$\frac{21}{2}$$  

• $$\frac{20}{2}$$  

• $$\frac{12}{2}$$