Fractions

Question 1

What is a fraction?

Answer 1

A fraction represents a part of a whole, consisting of a numerator and a denominator.

Question 2

What is the numerator in a fraction?

Answer 2

The numerator is the top number of a fraction, indicating how many parts are considered.

Question 3

What is the denominator in a fraction?

Answer 3

The denominator is the bottom number of a fraction, indicating how many equal parts the whole is divided into.

Question 4

True or False: In the fraction 3/4, 3 is the denominator.

Answer 4

False

Question 5

What does it mean to simplify a fraction?

Answer 5

To simplify a fraction means to reduce it to its lowest terms.

Question 6

How do you multiply two fractions?

Answer 6

Multiply the numerators together and multiply the denominators together.

Question 7

What is 1/2 multiplied by 3/4?

Answer 7

3/8

Question 8

How do you divide two fractions?

Answer 8

Multiply the first fraction by the reciprocal of the second fraction.

Question 9

What is 2/3 divided by 4/5?

Answer 9

10/12 or 5/6 when simplified.

Question 10

What is the result of adding 1/4 and 1/2?

Answer 10

3/4

Question 11

How do you subtract fractions with different denominators?

Answer 11

Find a common denominator, convert the fractions, then subtract the numerators.

Question 12

What is 5/6 - 1/3?

Answer 12

1/2

Question 13

Fill in the blank: To add fractions, you must have a _______.

Answer 13

common denominator

Question 14

True or False: 2/5 + 3/5 = 5/10.

Answer 14

False

Question 15

What is the first step in multiplying mixed numbers?

Answer 15

Convert the mixed numbers to improper fractions.

Question 16

What is 1 1/2 × 2/3?

Answer 16

1

Question 17

How do you convert a mixed number to an improper fraction?

Answer 17

Multiply the whole number by the denominator, add the numerator, and place over the original denominator.

Question 18

What is the improper fraction for 3 1/4?

Answer 18

13/4

Question 19

What is the product of 3/5 and 2/7?

Answer 19

6/35

Question 20

Fill in the blank: The reciprocal of 3/4 is _______.

Answer 20

4/3

Question 21

What do you call a fraction that is greater than one?

Answer 21

An improper fraction.

Question 22

True or False: You can add fractions directly without finding a common denominator.

Answer 22

False

Question 23

What is 1/6 + 1/2?

Answer 23

2/3

Question 24

How do you find a common denominator for 1/4 and 1/6?

Answer 24

The least common multiple of 4 and 6, which is 12.

Question 25

What is the sum of 2/3 and 1/9?

Answer 25

7/9

Question 26

What is 4/5 divided by 1/2?

Answer 26

8/5 or 1 3/5

Question 27

Fill in the blank: When subtracting fractions, you must adjust to a _______.

Answer 27

common denominator

Question 28

What is 7/8 - 1/4?

Answer 28

5/8

Question 29

True or False: The product of two fractions can be greater than one.

Answer 29

True

Question 30

What is 2/3 × 3/5?

Answer 30

2/5

Question 31

What is the first step in dividing mixed numbers?

Answer 31

Convert mixed numbers to improper fractions.

Question 32

What is the result of 1/2 + 1/2?

Answer 32

1

Question 33

Fill in the blank: To subtract mixed numbers, first convert them to _______.

Answer 33

improper fractions

Question 34

What is 1/3 - 1/6?

Answer 34

1/6

Question 35

What is the least common multiple of 2 and 3?

Answer 35

6

Question 36

What is the simplified form of 10/20?

Answer 36

1/2

Question 37

True or False: Fractions can only be added if they have the same numerator.

Answer 37

False

Question 38

What is 3/4 × 1/2?

Answer 38

3/8

Question 39

What is the reciprocal of 5/6?

Answer 39

6/5

Question 40

Fill in the blank: The sum of 1/5 and 2/5 is _______.

Answer 40

3/5

Question 41

What is the difference between an improper fraction and a proper fraction?

Answer 41

An improper fraction has a numerator larger than the denominator, while a proper fraction has a numerator smaller than the denominator.

Question 42

What is the formula to find the percentage of a whole number?

Answer 42

Percentage = (Part / Whole) × 100

Question 43

If you want to find 20% of 50, what calculation do you perform?

Answer 43

20% of 50 = (20 / 100) × 50 = 10

Question 44

True or False: To find 75% of a number, you can multiply the number by 0.75.

Answer 44

True

Question 45

Fill in the blank: To find 10% of a number, you can divide the number by ____.

Answer 45

10

Question 46

What is 30% of 200?

Answer 46

30% of 200 = (30 / 100) × 200 = 60

Question 47

If the whole number is 80, what is 25% of it?

Answer 47

25% of 80 = (25 / 100) × 80 = 20

Question 48

True or False: To find 50% of a number, you can simply divide the number by 2.

Answer 48

True

Question 49

What does it mean to find a percentage of a whole number?

Answer 49

It means to calculate a fraction of that number based on the percentage.

Question 50

How would you express 15% as a decimal for calculations?

Answer 50

15% as a decimal is 0.15.

Question 51

What is the percentage of 5 in the whole number 50?

Answer 51

Percentage = (5 / 50) × 100 = 10%

Question 52

If you need to find 40% of 150, what is the result?

Answer 52

40% of 150 = (40 / 100) × 150 = 60

Question 53

Fill in the blank: To calculate 1% of a number, you can divide the number by ____.

Answer 53

100

Question 54

What is 60% of 90?

Answer 54

60% of 90 = (60 / 100) × 90 = 54

Question 55

True or False: The percentage of a number can exceed the value of the number itself.

Answer 55

True

Question 56

If a whole number is 500, what is 15% of it?

Answer 56

15% of 500 = (15 / 100) × 500 = 75

Question 57

What is the first step to finding the percentage of a whole number?

Answer 57

Convert the percentage to a decimal.

Question 58

What is 5% of 200?

Answer 58

5% of 200 = (5 / 100) × 200 = 10

Question 59

True or False: Finding a percentage involves multiplication.

Answer 59

True

Question 60

How do you calculate 80% of 250?

Answer 60

80% of 250 = (80 / 100) × 250 = 200

Question 61

What is 90% of 40?

Answer 61

90% of 40 = (90 / 100) × 40 = 36

Question 62

Fill in the blank: To find 100% of a number, you simply take the number as is, which is ____.

Answer 62

the number itself

Question 63

What calculation would you do to find 12% of 80?

Answer 63

12% of 80 = (12 / 100) × 80 = 9.6

Question 64

If a whole number is 300, what is 10% of it?

Answer 64

10% of 300 = (10 / 100) × 300 = 30

Question 65

True or False: The percentage of a number is always less than the number itself.

Answer 65

False

Question 66

What is 70% of 600?

Answer 66

70% of 600 = (70 / 100) × 600 = 420

Question 67

What is the formula to find the percentage of a whole number?

Answer 67

Percentage = (Part / Whole) × 100

Question 68

If you want to find 20% of 50, what calculation do you perform?

Answer 68

20% of 50 = (20 / 100) × 50 = 10

Question 69

True or False: To find 75% of a number, you can multiply the number by 0.75.

Answer 69

True

Question 70

Fill in the blank: To find 10% of a number, you can divide the number by ____.

Answer 70

10

Question 71

What is 30% of 200?

Answer 71

30% of 200 = (30 / 100) × 200 = 60

Question 72

If the whole number is 80, what is 25% of it?

Answer 72

25% of 80 = (25 / 100) × 80 = 20

Question 73

True or False: To find 50% of a number, you can simply divide the number by 2.

Answer 73

True

Question 74

What does it mean to find a percentage of a whole number?

Answer 74

It means to calculate a fraction of that number based on the percentage.

Question 75

How would you express 15% as a decimal for calculations?

Answer 75

15% as a decimal is 0.15.

Question 76

What is the percentage of 5 in the whole number 50?

Answer 76

Percentage = (5 / 50) × 100 = 10%

Question 77

If you need to find 40% of 150, what is the result?

Answer 77

40% of 150 = (40 / 100) × 150 = 60

Question 78

Fill in the blank: To calculate 1% of a number, you can divide the number by ____.

Answer 78

100

Question 79

What is 60% of 90?

Answer 79

60% of 90 = (60 / 100) × 90 = 54

Question 80

True or False: The percentage of a number can exceed the value of the number itself.

Answer 80

True

Question 81

If a whole number is 500, what is 15% of it?

Answer 81

15% of 500 = (15 / 100) × 500 = 75

Question 82

What is the first step to finding the percentage of a whole number?

Answer 82

Convert the percentage to a decimal.

Question 83

What is 5% of 200?

Answer 83

5% of 200 = (5 / 100) × 200 = 10

Question 84

True or False: Finding a percentage involves multiplication.

Answer 84

True

Question 85

How do you calculate 80% of 250?

Answer 85

80% of 250 = (80 / 100) × 250 = 200

Question 86

What is 90% of 40?

Answer 86

90% of 40 = (90 / 100) × 40 = 36

Question 87

Fill in the blank: To find 100% of a number, you simply take the number as is, which is ____.

Answer 87

the number itself

Question 88

What calculation would you do to find 12% of 80?

Answer 88

12% of 80 = (12 / 100) × 80 = 9.6

Question 89

If a whole number is 300, what is 10% of it?

Answer 89

10% of 300 = (10 / 100) × 300 = 30

Question 90

True or False: The percentage of a number is always less than the number itself.

Answer 90

False

Question 91

What is 70% of 600?

Answer 91

70% of 600 = (70 / 100) × 600 = 420