1.04 09-22-08

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1. What are like fractions?

1. They’re fractions with the same denominator

2. What are unlike fractions?

2. They’re fractions with different denominators

3. What are proper fractions?

3. Fractions in which the numerator is less than the denominator

4. What are improper fractions?

4. Fractions in which the numerator is greater than the denominator

EX: ⅝ ⅞ ⅛

EX: ⅛, , ,½

EX: ½ ⅞ ⅛

EX: , ,

5. What are equivalent fractions?

5. Fractions that have the same value

6. How do I make an equivalent fraction?

6. * Multiply the numerator and denominator by the same number

OR

EX:

EX: x = x =

= = = =

* Divide by a number that goes into the numerator AND denominator evenly

EX: ÷ = ÷ =

7. What does simplest form mean?

7. The fraction cannot be reduced

* No numbers other than 1 can go into the numerator and denominator evenly

8. How do I change a whole number into fraction?

EX: ⅝ , ⅔ , ⅞

8. Put the whole number over 1

EX: = 1 = 1 = 1

EX: 7=   10= 5=

9. How do I make a fraction equal to 1?

9. The numerator must be the same as the denominator

10. What is a mixed number?

10. A whole number with a fraction

11. How do I change a mixed number into an improper fraction?

EX: 4⅝ , 7⅔ , 3⅞

11. 1. Multiply the whole number and denominator 2. Add the numerator to your answer 3. The sum becomes the numerator 4. The denominator stays the same

EX: 4⅝ 7⅔ 3⅞

Multiply.

233

Then add.

11. How do I change an improper fraction into a mixed number?

1

4__ 1. Divide the numerator by

the denominator.

2. The remainder becomes the numerator, the denominator stays the same.

4 9- 8

2

1

11.

=

12. Change the improper fractions to mixed numbers:

12.1.

2.

3.

1.04 Multiply fractions

1. How do I multiply fractions?

1. A. Multiply the numerators straight across

B. Multiply the denominators straight across

C. Write the answer in simplest form

Example 2: 4 * 7/8

Example 3: 1/3 * 1 1/2

Example 4: 2 1/2 * 1 1/3

Example 5: 3 * 2 1/8

Example 1: 1/3 * 3/5

1.03 Multiply fractions

3. How do I multiply mixed numbers?

3. A. Change the mixed numbers to improper fractions

B. Multiply

4. How do I evaluate fraction expressions?

4. A. Replace x with the given number

B. Multiply

C. Write your answer in simplest form

Example: x = 5/8

1/3 * x

1.03 Multiply fractions

6. How do I multiply a whole number by a mixed number?

6.

A. Write both numbers as improper fractions

B. Multiply

C. Change your answer to a mixed number

1.03 Divide fractions

1. What is a reciprocal?

1. It’s when you flip a fraction upside down

2. How do I find the reciprocal of a fraction?

2. Switch the numerator and denominator

Example: 2/5 =

8/9 =

1.04 Divide fractions

3. How do I divide fractions?

3. 1. Copy the first fraction

2. Change the division sign to multiplication (Dot)

3. Flop (flip) the second fraction

4. Multiply

5. Write your answer in simplest form

Example 1: 4/5 divided by 5/2

Example 2: 1/2 divided by 1/4

1. How do I add like fractions?

1. A. Add the numeratorsB. Keep the same denominatorC. Write your answer in simplest form

Example: 2/7 + 3/7

2.How do I subtract like fractions?

2. A. Subtract the numerators B. Keep the same denominator C. Write your answer in simplest form

Example 1: 4/5 - 1/5 =Example 2: 1- 4/5=

3. How do I subtract like mixed numbers?

3. A. Subtract the fractions B. Subtract the whole numbers C. Write your answer in simplest form

Example: 2 3/4 - 1 1/4 =

1.04 Add & subtract fractions

1.03 Add & subtract fractions

4. How do I evaluate expressions with fractions?

4. A. Write the expressionB. Replace x with the given numberC. Subtract/Add the numeratorsD. Keep the same denominatorE. Write your answer in simplest form

Example 1 : x = 5/8 x - 2/8

Example 2: x = 3/8 x + 1 1/8