Mixed Numbers

Question 1

What is a mixed number?

Answer 1

A whole number and a proper fraction

Question 2

What is an improper fraction?

Answer 2

A fraction whose numerator is greater than the denominator

Question 3

What does a mixed number represent?

Answer 3

Addition

Question 4

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

Answer 4

1. Divide the numerator by the denominator
2. Write the whole number part of the answer as the whole number in the mixed number
3. Write the remainder as a numerator of the fraction part
4. Keep the denominator the same

Question 5

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

Answer 5

1. Multiply the whole number by the denominator
2. Add the numerator
3. Keep the denominator the same

Question 6

How is a negative mixed number expressed?

Answer 6

• W - x/y

Question 7

When converting a negative mixed number into an improper fraction how is negative improper fraction expressed?

Answer 7

-x/y

Question 8

When converting a negative improper fraction into a mixed number how is the negative improper fraction expressed?

Answer 8

-x/y

Question 9

How do you add or subtract mixed numbers?

Answer 9

1. Add or subtract the whole numbers
2. Find same common denominator for the fractions
3. Add them
4. Simplify to mixed number if improper fraction

Question 10

What happens if you get a positive whole number and a negative fraction in a mixed number?

Answer 10

Change to addition

Question 11

How do you change a positive whole number and negative fraction mixed number into addition?

Answer 11

1. Express the whole number as addition by pulling out a 1
2. Change the 1 to be expressed as a fraction equivalent to 1 that has the same common denominator as the fraction,
3. Subtract the original fraction with the new one

Question 12

What is the best way to avoid errors?

Answer 12

Always write out everything even things I think I know the answer too and recheck

Question 13

How do you multiply or divide mixed numbers?

Answer 13

1. Convert to improper fractions
2. Then operate

Question 14

When dividing fractions what is important to remember?

Answer 14

To flip the 2nd fraction and multiply them

Question 15

What needs to be done right before converting a fraction to a mixed number?

Answer 15

Ensure it is 100% simplified

Question 16

How do you know which fraction is larger?

Answer 16

1. If they have the same denominator the one with the largest numerator is larger
2. If they have the same numerator the one with the smallest denominator is larger
3. If they don’t have a common numerator or denominator - find a common denominator

Question 17

How would you approach answering a question like “what is 1/3 of the way between x and y”?

Answer 17

1. Find the difference between the numbers
2. Divide the difference by the denominator of the fraction (i.e. 3 if 1/3)
3. Add the answer in part 2 to the smaller number

Question 18

How many seconds are in an hour?

Answer 18

3600

Question 19

How many feet are in a yard?

Answer 19

3

Question 20

How many inches are in a foot?

Answer 20

12

Question 21

How many inches are in 3 feet?

Answer 21

36