Dividing Fractions

​Dividing Fractions

​Vocabulary Words

​Improper Fraction - Fraction whose numerator is larger than the denominator.

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​Whole Number - A fraction where the denominator is always 1.

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Simplifying Fractions - ​dividing the numerator and denominator by the same number. Placing the fraction in lowest terms.

Denominator - The bottom number of a fraction that tells how many equal parts are in the whole.

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​Numerator - The top number of a fraction that tells how many parts of a whole are being considered.

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​KCF - Keep, Change Flip

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Reciprocal - ​any two numbers whose product is one when multiplied (flipped fraction)

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Mixed Number - ​a number including a whole number and a fraction.

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Steps to follow for dividing fractions

Step 1 - Only have fractions in the division sentence

Make sure you do not have any mixed numbers in the division sentence.
Write the whole number as a fraction

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Step 2 - Keep, Change, Flip

Keep the first fraction the same, change the division sign to multiplication, and flip the second fraction.

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Step 3 - ​Multiply

You will multiply straight across. Simplify if needed and convert to a mixed number. ​

6th Grade| Math

Dividing Fractions

Match

Match the following fraction with the reciprocal:

• 1/6

• 3/4

• 2/7

• 9/10

• 3/8

6

4/3

7/2

10/9

8/3

• 6

• 4/3

• 7/2

• 10/9

• 8/3

Multiple Choice

Divide the fractions. Simplify the answer.

$$\frac{5}{6}\div\frac{3}{4}$$

• $$\frac{5}{8}$$

• $$1\ \frac{2}{20}$$

• $$1\ \frac{1}{9}$$

• $$\frac{18}{24}$$

Multiple Choice

Divide the answer. Simplify the fraction.

$$\frac{8}{3}\div\frac{5}{4}$$

• $$2\ \frac{2}{15}$$

• $$\frac{32}{15}$$

• $$\frac{10}{3}$$

• $$3\ \frac{1}{3}$$

Multiple Choice

Divide the answer. Simplify the fraction.

$$\frac{3}{7}\div\frac{1}{4}$$

• $$\frac{12}{7}$$

• $$\frac{3}{7}$$

• $$1\ \frac{5}{7}$$

• $$\frac{3}{28}$$

Match

Match the following improper fractions to mixed numbers.

• 7/2

• 14/3

• 25/6

3 1/2

4 2/3

4 1/6

• 3 1/2

• 4 2/3

• 4 1/6

Fill in the Blank

Divide the following fractions.

$$6\frac{3}{4}\div\frac{4}{5}$$  

Your answer should be inputted like so:
3 1/2

Use a space between the whole number and the fraction.

Use the "/" as your fraction bar

/

Open Ended

Divide the following fractions.

$$\frac{7}{8}\div2\frac{1}{5}$$  

Poll

How well can you divide mixed numbers fractions?

• Not good at all

• Getting better

• Good

• Great