2.a Fractions

Question 1

What is a proper fraction?

Answer 1

A proper fraction is when the numerator is less than the denominator

Question 2

What is an improper fraction?

Answer 2

An improper fraction is when the numerator is greater than the denominator

Question 3

Which type of fraction is this: 5/4

Answer 3

improper fraction, as the numerator is greater than the denominator

Question 4

What is a mixed number?

Answer 4

A whole number followed by a proper fraction

eg. 5 2/3

Question 5

An improper fraction can be converted to a ______

Answer 5

mixed number

Question 6

What is the LCD?

Answer 6

The smallest nonzero whole number that is divisible by each of the denominators

Question 7

What is the LCD of 1/6, 1/5 and 1/12?

Answer 7

60

Question 8

How do you find the LCD?

Answer 8

List the multiples of each denominator, and find the smallest number that is common in each list.

Question 9

What can this be rewritten as?

Answer 9

Question 10

Is this correct?

Answer 10

NO!

The distributive property of division over addition only works when the denominators are the same

Question 11

To add fractions make sure the ( ) is the same..

Answer 11

Denominator!

Question 12

What is a shortcut method for adding a/b + c/d?

Answer 12

Question 13

How do you multiply fractions?

Answer 13

Multiply the numerators of the fractions, multiply the denominators of the fractions

= simplify it

Question 14

When dividing a fraction, what do you do?

Answer 14

Change to division sign by a multiplication sign, and flip the fraction to the right of the sign.

Question 15

What is: 5 x 3/4 ?

Answer 15

15/4

multiply 5 by 3!

Do not confuse
5 x 3/4
with 5 + 3/4

Question 16

What are the two ways in which you can simplify fractions?

Answer 16

1) Top-and-bottom simplification

2) Cross simplification

Question 17

What is “top-and-bottom simplification”?

Answer 17

Dividing a fraction’s numerator and denominator by the same value to create a simplified fraction

Question 18

What is “cross simplification”?

Answer 18

Simplify the fractions by taking the numerator of one fraction and the denominator of another fraction, dividing both numbers by the same value

Question 19

How could you cross simplify this?

Answer 19

Question 20

Can cross simplification be performed on fractions that are not adjacent?

Answer 20

YES!

Question 21

Is this valid cross-simplification?

Answer 21

Yes!

Cross simplification can be performed on fractions that are NOT adjacent

Question 22

What is a reciprocal?

Answer 22

1 over that number

eg. reciprocal of 5 is 1/5

Question 23

How could you rewrite: 1 / (a/b) ?

Answer 23

Question 24

What is the reciprocal of 1/5?

Answer 24

Question 25

What is the reciprocal of 1, and -1?

Answer 25

The reciprocal of 1 is 1, and the reciprocal of -1 is -1

Question 26

What is the reciprocal of 0?

Answer 26

UNDEFINED! Zero is the only number that has no reciprocal

Question 27

The product of a number and its reciprocal is ....

Answer 27

1 eg. 9 * 1/9 = 1

Question 28

When asked if a pair of numbers are reciprocals of one another, how can you test this easily?

Answer 28

Multiply them, if the answer is 1. The numbers are reciprocals!

Question 29

What are complex fractions?

Answer 29

Fractions whose numerator, denominator (or both) are also fractions

Question 30

What are the two methods to simplify complex fractions?

Answer 30

Method 1: Write the numerator and denominator as single fractions, and then divide Method 2: Multiply both the numerator and the denominator by the LCD, then simplify

Question 31

How would you simplify this?

Answer 31

Multiply the entire fraction by 3/3 to simplify!