FRACTIONS, DECIMALS AND PERCENTAGES

Question 1

COMMON FRACTIONS

WHAT IS A COMMON FRACTION?

Answer 1

A COMMON FRACTION REPRESENTS A PORTION OR PART OF A QUANTITY.

Question 2

COMMON FRACTIONS

WHAT IS THE TOP NUMBER OF A FRACTION CALLED?

Answer 2

NUMERATOR

Question 3

COMMON FRACTIONS

WHAT IS THE BOTTOM NUMBER OF A FRACTION CALLED?

Answer 3

DENOMINATOR

Question 4

COMMON FRACTIONS

WHAT IS A NUMERATOR?

Answer 4

IT IS THE NUMBER OF PARTS THERE ARE

Question 5

COMMON FRACTIONS

WHAT IS A DENOMINATOR?

Answer 5

THE NUMBER OF PARTS ONE UNIT IS DIVIDED INTO

Question 6

FRACTIONAL TABLE

1/2

Answer 6

• 0.5
• 50%

Question 7

FRACTIONAL TABLE

1/4

Answer 7

• 0.25
• 25%

Question 8

FRACTIONAL TABLE

3/4

Answer 8

• 0.75
• 75%

Question 9

FRACTIONAL TABLE

1/3

Answer 9

• 0.333
• 33.33%

Question 10

FRACTIONAL TABLE

2/3

Answer 10

• 0.666
• 66.66%

Question 11

FRACTIONAL TABLE

5/2

Answer 11

• 2.5
• 250%

Question 12

FRACTIONAL TABLE

1/10

Answer 12

• 0.1
• 10%

Question 13

FRACTIONAL TABLE

2/10

Answer 13

• 0.2
• 20%

Question 14

FRACTIONAL TABLE

1/5

Answer 14

• 0.2
• 20%

Question 15

FRACTIONAL TABLE

2/5

Answer 15

• 0.4
• 40%

Question 16

FRACTIONAL TABLE

1/8

Answer 16

• 0.125
• 12.5%

Question 17

FRACTIONAL TABLE

3/8

Answer 17

• 0.375
• 37.5%

Question 18

SUBDIVISION OF MEASUREMENTS - RIVET DIAMETERS

3/32

Answer 18

• 0.094 INCH
• 2.4 MM

Question 19

SUBDIVISION OF MEASUREMENTS - RIVET DIAMETERS

1/8

Answer 19

• 0.125 INCH
• 3.2 MM

Question 20

SUBDIVISION OF MEASUREMENTS - RIVET DIAMETERS

5/32

Answer 20

• 0.156 INCH
• 4.0 MM

Question 21

SUBDIVISION OF MEASUREMENTS - RIVET DIAMETERS

3/16

Answer 21

• 0.188 INCH
• 4.8 MM

Question 22

SUBDIVISION OF MEASUREMENTS - RIVET DIAMETERS

1/4

Answer 22

• 0.250 INCH
• 6.4 MM

Question 23

SUBDIVISION OF MEASUREMENTS - RIVET DIAMETERS

5/16

Answer 23

• 0.312 INCH
• 7.9 MM

Question 24

SUBDIVISION OF MEASUREMENTS - RIVET DIAMETERS

3/8

Answer 24

• 0.375 INCH
• 9.5 MM

Question 25

# COMPARING SIZE OF FRACTIONS HOW DO YOU COMPARE THE VALUES OF TWO OR MORE FRACTIONS?

Answer 25

1. THEY SHOULD BE EXPRESSED AS FRACTIONS WITH THE SAME DENOMINATOR 2. THE COMMON DENOMINATOR SHOULD BE THE LCM OF THE DENOMINATORS OF THE FRACTIONS TO BE COMPARED

Question 26

# MIXED NUMBER WHAT IS A MIXED NUMBER?

Answer 26

A WHOLE NUMBER AND A PROPER FRACTION COMBINED

Question 27

# BASIC OPERATORS ON FRACTIONS - ADDING FRACTIONS HOW DO YOU ADD FRACTIONS WITH THE SAME DENOMINATOR?

Answer 27

THE FRACTIONS CAN BE ADDED TOGETHER BY ADDING THEIR NUMERATORS

Question 28

# BASIC OPERATORS ON FRACTIONS - ADDING FRACTIONS HOW DO YOU ADD FRACTIONS WITH DIFFERENT DENOMINATORS?

Answer 28

* YOU CANNOT * YOU MUST CHANGE THE DENOMINATOR TO THE LOWEST COMMON DENOMINATOR OF BOTH FRACTIONS * THEN ADD THE NUMERATORS

Question 29

# BASIC OPERATORS ON FRACTIONS - ADDING FRACTIONS HOW DO YOU ADD MIXED NUMBERS TOGETHER?

Answer 29

* ADD THE WHOLE NUMBERS AND FRACTIONS SEPARATELY * ENSURE THE FRACTIONS HAVE THE SAME DENOMINATOR

Question 30

# BASIC OPERATORS ON FRACTIONS - SUBTRACTING FRACTIONS HOW DO YOU SUBTRACT FRACTIONS WITH THE SAME DENOMINATOR?

Answer 30

IF FRACTIONS TO BE SUBTRACTED HAVE THE SAME DENOMINATOR SUBTRACT THE NUMERATORS IT IS POSSIBLE TO HAVE A NEGATIVE FRACTION

Question 31

# BASIC OPERATORS ON FRACTIONS - SUBTRACTING FRACTIONS HOW DO YOU SUBTRACT FRACTIONS WITH DIFFERENT DENOMINATORS?

Answer 31

* YOU CANNOT * FIRST OF ALL FIND THE LOWEST COMMON DENOMINATOR * SUBTRACT THE NUMERATORS

Question 32

# BASIC OPERATORS ON FRACTIONS - SUBTRACTING FRACTIONS HOW DO YOU SUBTRACT MIXED NUMBERS?

Answer 32

1. SUBTRACT THE WHOLE NUMBERS 2. THEN DEAL WITH THE FRACTIONS 3. ENSURE THE DENOMINATORS ARE THE SAME

Question 33

# BASIC OPERATORS ON FRACTIONS - SUBTRACTING FRACTIONS HOW DO YOU SUBTRACT MIXED NUMBERS BY CONVERTING THE FRACTION TO AN IMPROPER FRACTION?

Answer 33

1. CONVERT THE NUMBER INTO AN IMPROPER FRACTION 2. MAKE SURE THE DENOMINATORS ARE THE SAME 3. SUBTRACT THE IMPROPER FRACTION WITH THE LCD

Question 34

# BASIC OPERATORS ON FRACTIONS - MULTIPLYING FRACTIONS HOW DO YOU MULTIPLY FRACTIONS?

Answer 34

1. MULTIPLY THE NUMERATORS OF EACH FRACTION TO FORM THE PRODUCT NUMERATOR 2. THEN MULTIPLY THE DENOMINATORS TO FORM THE PRODUCT DENOMINATOR 3. REDUCE THE FRACTION TO ITS LOWEST TERMS

Question 35

# BASIC OPERATORS ON FRACTIONS - MULTIPLYING FRACTIONS WHAT MUST YOU DO IF THERE ARE FACTORS COMMON TO A NUMERATOR AND A DENOMINATOR?

Answer 35

CANCEL THEM BEFORE MULTIPLYING

Question 36

# BASIC OPERATORS ON FRACTIONS - MULTIPLYING FRACTIONS HOW DO YOU MULTIPLY MIXED NUMBERS?

Answer 36

1. CONVERT THE MIXED NUMBER INTO AN IMPROPER FRACTION 2. MULTIPLY THE NUMERATORS 3. MULTIPLY THE DENOMINATORS 4. EXPRESS THE RESULT AS A MIXED NUMBER

Question 37

# BASIC OPERATORS ON FRACTIONS - MULTIPLYING FRACTIONS HOW DO YOU CONVERT A MIXED NUMBER TO AN IMPROPER FRACTION?

Answer 37

1. MULTIPLY THE WHOLE NUMBER BY THE DENOMINATOR 2. ADD THAT ANSWER TO THE NUMERATOR

Question 38

# BASIC OPERATORS ON FRACTIONS - MULTIPLYING FRACTIONS HOW DO YOU CONVERT AN IMPROPER FRACTION TO A MIXED NUMBER?

Answer 38

1. DIVIDE THE NUMERATOR BY THE DENOMINATOR 2. WRITE DOWN THE WHOLE NUMBER AS THE RESULT 3. USE THE REMAINDER AS THE NUMERATOR

Question 39

# BASIC OPERATORS ON FRACTIONS - DIVIDING FRACTIONS HOW DO YOU DIVIDE FRACTIONS?

Answer 39

1. INVERT THE DIVISOR 2. MULTIPLY THE NUMERATOR 3. MULTIPLY THE DENOMINATOR 4. REDUCE THE QUOTIENT TO ITS LOWEST TERMS

Question 40

# DECIMALS WHAT IS A DECIMAL?

Answer 40

A NUMBER WITH A WHOLE NUMBER PART AND A FRACTION PART SEPARATED BY A DECIMAL POINT DECIMAL POINTS EXTEND THE BASE 10 NUMBER SYSTEM

Question 41

# DECIMALS WHY DO WE USE DECIMALS?

Answer 41

THEY ARE EASIER TO READ THAN FRACTIONS

Question 42

# DECIMALS HOW DO YOU CONVERT A **COMMON FRACTION** TO A **DECIMAL FRACTION**?

Answer 42

1. DIVIDING THE NUMERATOR BY THE DENOMINATOR

Question 43

# DECIMALS HOW DO YOU CONVERT AN **IMPROPER FRACTION** TO A **DECIMAL FRACTION**?

Answer 43

1. DIVIDE THE NUMERATOR BY THE DENOMINATOR 2. THE INTEGER PART OF THE NUMBER APPEARS TO THE LEFT OF THE DECIMAL POINT 3. THE FRACTIONAL PART APPEARS TO THE RIGHT OF THE DECIMAL POINT

Question 44

# BASIC OPERATORS ON DECIMALS - ADDING DECIMALS HOW DO YOU ADD DECIMALS?

Answer 44

1. ALIGN THE DECIMAL POINT 2. ADD

Question 45

# BASIC OPERATORS ON DECIMALS - SUBTRACTING DECIMALS HOW DO YOU SUBTRACT DECIMALS?

Answer 45

1. ALIGN THE DECIMAL POINT 2. SUBTRACT

Question 46

# BASIC OPERATORS ON DECIMALS - MULTIPLYING DECIMALS HOW DO YOU MULTIPLY DECIMALS?

Answer 46

1. IGNORE THE DECIMAL POINT 2. MULTIPLY THE WHOLE NUMBERS 3. COUNT THE NUMBER OF DIGITS TO THE RIGHT OF THE DECIMAL POINT IN THE ORIGINAL NUMBERS 4. PLACE THE DECIMAL POINT THAT NUMBER OF PLACES FROM THE RIGHT.

Question 47

# BASIC OPERATORS ON DECIMALS - DIVIDING DECIMALS HOW DO YOU DIVIDE DECIMALS?

Answer 47

1. WHEN THE **DIVISOR** IS A **WHOLE NUMBER** THE DECIMAL POINT ALIGNS WITH THE DECIMAL IN THE **DIVIDEND** 2. WHEN THE **DIVISOR** IS A **DECIMAL FRACTION** CONVERT TO A **WHOLE NUMBER** BY MOVING THE DECIMAL POINT TO THE RIGHT 3. WHEN THE DECIMAL IN THE **DIVISOR** IS MOVED YOU MUST MOVE THE DECIMAL IN THE **DIVIDEND** IN THE SAME DIRECTION AND NUMBER OF SPACES.

Question 48

# PERCENTAGES WHAT IS A PERCENTAGE?

Answer 48

1. OUT OF 100 2. REPRESENTED BY THE % SIGN

Question 49

# PERCENTAGE VALUE OF A QUANTITY HOW DO YOU FIND THE VALUE OF A PERCENTAGE OF A QUANTITY?

Answer 49

1. EXPRESS THE PERCENTAGE AS A FRACTION 2. MULTIPLY BY THE QUANTITY 3. OR 4. DIVIDE THE QUANITITY BY 100 5. MULTIPLY BY THE PERCENTAGE

Question 50

# EXPRESSING A QUANTITY AS A PERCENTAGE HOW DO YOU EXPRESS ONE QUANTITY AS A PERCENTAGE OF ANOTHER?

Answer 50

1. MAKE A FRACTION OF THE TWO QUANTITIES 2. MULTIPLY BY 100

Question 51

# CONVERTING FRACTIONS TO DECIMALS AND PERCENTAGES - FRACTION TO DECIMAL HOW DO YOU CONVERT A FRACTION TO A DECIMAL?

Answer 51

1. DIVIDE THE NUMERATOR BY THE DENOMINATOR 2. 3/4 = 3 ÷ 4 = 0.75

Question 52

# CONVERTING FRACTIONS TO DECIMALS AND PERCENTAGES- FRACTION TO PERCENTAGE HOW DO YOU CONVERT FRACTION TO A PERCENTAGE?

Answer 52

1. FIRST CONVERT THE FRACTION TO A DECIMAL 2. MULTIPLY BY 100 3. 3/4 = 0.75 x 100 = 75%

Question 53

# CONVERTING DECIMALS TO FRACTIONS AND PERCENTAGES - DECIMAL TO FRACTION HOW DO YOU CONVERT A DECIMAL TO A FRACTION?

Answer 53

1. WRITE DOWN THE DECIMAL DIVIDED BY 1 2. 0.75 / 1 3. MULTIPLY THE TOP AND BOTTOM BY 10 FOR EVERY NUMBER AFTER THE DECIMAL POINT 4. MULTIPLY 0.75 BY 100 AS THERE ARE TWO DIGITS ARE 0 5. 75 / 100 6. SIMPLIFY THE FRACTION 7. 3/4

Question 54

# CONVERTING FRACTIONS TO DECIMALS AND PERCENTAGES DECIMAL TO PERCENTAGE HOW DO YOU CONVERT DECIMAL TO PERCENTAGE?

Answer 54

1. MULTIPLY THE DECIMAL BY 100 2. ADD THE % SIGN 3. 0.75 x 100 = 75%

Question 55

# CONVERTING PERCENTAGES TO DECIMALS AND FRACTIONS- PERCENTAGE TO DECIMAL HOW DO YOU CONVERT A PERCENTAGE TO A DECIMAL?

Answer 55

1. DIVIDE THE PERCENTAGE BY 100 2. 75% / 100 = 0.75

Question 56

# CONVERTING PERCENTAGES TO DECIMALS AND FRACTIONS- PERCENTAGE TO FRACTION HOW DO YOU CONVERT A PERCENTAGE TO A FRACTION?

Answer 56

1. DIVIDE THE PERCENTAGE BY 100 2. SIMPLIFY THE FRACTION 3. 75% = 75/100 = 3/4

Question 57

# KEY POINTS TO REMEMBER - FRACTIONS, DECIMALS AND PERCENTAGES HOW DO YOU CONVERT A FRACTION INTO A DECIMAL OR PERCENTAGE?

Answer 57

DIVIDE THE NUMERATOR BY THE DENOMINATOR

Question 58

# KEY POINTS TO REMEMBER - FRACTIONS, DECIMALS AND PERCENTAGES HOW DO YOU CONVERT A DECIMAL TO A FRACTION?

Answer 58

WRITE IT OVER 1 MULTIPLY THE NUMERATOR AND DENOMINATOR SIMPLIFY

Question 59

# KEY POINTS TO REMEMBER - FRACTIONS, DECIMALS AND PERCENTAGES HOW DO YOU CONVERT A PERCENTAGE TO A DECIMAL OR FRACTION?

Answer 59

DIVIDE BY 100

Question 60

# KEY POINTS TO REMEMBER - FRACTIONS, DECIMALS AND PERCENTAGES WHAT IS THE COMMON STEP IN CONVERTING DECIMALS TO PERCENTAGES?

Answer 60

MULTIPLYING BY 100

Question 61

# KEY POINTS TO REMEMBER - FRACTIONS, DECIMALS AND PERCENTAGES HOW TO CONVERT FRACTION - DECIMAL - PERCENTAGE

Answer 61