Chapter 3 - Fractions

Question 0

How to you change improper fractions into mixed numbers?

Answer 0

You count how many times the denominator goes into the numerator e.g 18/8 = 2 2/8 and simplify 2 2/8 = 2 1/4.

Question 1

What are equivalent fractions?

Answer 1

Equivalent fractions are fractions that have different numerators and denominators, but when simplified are the same fraction.

Question 2

How do you change a mixed fraction into an improper fraction?

Answer 2

Multiply the whole number (3 1/3) by the denominator (3) and add the numerator (1) to get a new numerator. Put new numerator over the original denominator ~ 10/3
e.g. 3 x 3 = 9
9 + 1 = 10
Answer: 10/3

Question 3

What are the rules to adding fractions?

Answer 3

Sum: 2/3 + 4/5
1. You can’t add fractions unless they have the same denominator.
2. Find common denominator (C.D) 3 x 5 = 15
3. Change each fraction in the sum to have the C.D ~ 15
2/3 = 10/5 4/5 = 12/15
4. Replace fractions in sum with new fractions
10/15 and 12/15
5. Only add the numerators!
10/15 + 12/15 = 22/15
6. Simplify if possible
1 7/15

Question 4

What are the rules to subtracting fractions?

Answer 4

Sum: 3 2/3 - 2 1/2
1. Change to improper fractions 
    11/3 and 5/2
2. Find the common denominator
    3 x 2 = 6
3. Multiply original numerator and denominator to get C.D 6 for                denominators.
    22/6 - 15/6
4. Subtract numerators
    22/6 - 15/6 = 7/6
5. Simplify
     7/6 = 1 1/6

Question 5

What are the rules to multiplying fractions?

Answer 5

1. Turn into improper fractions.
2. Cancel numerators and denominators.
3. Multiply numerators by each other and denominators by each other.
4. Simplify.

Question 6

What are the rules to dividing fractions?

Answer 6

1. Turn into improper fractions,
2. Flip the second fraction and change division to multiplication sign.
3. Cancel
4. Multiply numerators by each other and denominators by each other.
5. Simplify.

Question 7

How do you find a fraction of a number?

Answer 7

1. Replace word OF with x
   e.g Find 3/10 of 80
   3/10 x 80/1 ~ cancels to: 3/1 x 8/1 = 24

Question 8

How do you express one quantity as a fraction of a second quantity?

Answer 8

1. Put first quantity over second quantity in fraction form and simplify.
   e.g. Express 16 as a fraction of 24
   16/24 = 2/3