Taking the Reciprocal of a Fraction

Reviewing Dividing Fractions and Place Value

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​DIVIDING FRACTIONS

​RECIPROCAL

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Multiple Choice

Which word is used to show we are writing the reciprocal?

• keep

• change

• flip

• order

Multiple Choice

$$\frac{1}{5}\ \div\frac{1}{5}$$   simplify your answer

• $$\frac{5}{5}$$  

• 1

• 4

• $$\frac{1}{5}$$  

Multiple Choice

What is the reciprocal of $$\frac{3}{27}$$  

• $$\frac{1}{9}$$  

• $$\frac{3}{27}$$  

• $$\frac{27}{3}$$  

• $$\frac{9}{1}$$  

DIVIDING FRACTIONS

​As in all division problems, the answer you get when you divide fractions is called the quotient.

When dividing fractions using the KCF (keep change flip) method.

1. keep the first fraction.

2. Change the division sign to multiplication

3. Flip the second fraction​.

4. Multiply ​by numerator by numerator and denominator by denominator.

5. ​Simplify the quotient.

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Multiple Choice

$$\frac{1}{3}\div\frac{3}{4}$$  

• $$\frac{3}{12}$$  

• $$\frac{2}{12}$$  

• $$\frac{4}{9}$$  

• $$\frac{1}{4}$$  

Multiple Choice

The answer when you divide two fractions is called

• sum

• product

• quotient

• difference

Multiple Choice

$$\frac{2}{3}\div\frac{1}{2}$$  

• $$1\frac{1}{3}$$  

• $$\frac{1}{3}$$  

• $$\frac{1}{2}$$  

• $$1\ \frac{1}{2}$$  

Multiple Choice

$$\frac{1}{2}\div\frac{4}{5}$$  

• $$\frac{2}{5}$$  

• $$\frac{11}{7}$$  

• $$\frac{4}{10}$$  

• $$\frac{5}{8}$$  

Multiple Choice

$$\frac{2}{6}\div\frac{1}{3}$$  

• $$1$$  

• 2

• $$\frac{1}{3}$$  

• $$\frac{2}{6}$$  

PLACE VALUE

​Our number system, the Hindu Arabic Numeral System, comprises ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. This system is a Decimal System because it uses only ten numbers symbols. The value of each digit depends on its place in the number.

 In the number 701, there are no tens. The digit 0 is used as the placeholder.

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Multiple Choice

How many digits does the Base ten system use ?

• 5

• 1

• 10

• 9

Multiple Choice

What number is represented by the set of base ten blocks?

• 11

• 16

• 26

• 106

Multiple Choice

What number is represented by the set of base ten blocks?

• 31

• 30

• 301

• 300

Multiple Choice

Which set of base ten blocks shows the number 1240?