Chapter 4 Notes

7th Grade Math

Adding and Subtracting Fractions 10/30

2. Find a common denominator

3. Add or subtract the numerators

Steps

4. Keep the common denominator

5. Write in simplest form (change all improper fractions back into mixed numbers)

1. Convert all mixed numbers into improper fractions

Example Common denominator so add or subtract the numerator

Already in simplest form

Example Find a common denominator

Add or Subtract numerators

24

x 4

x 4

Already in simplest form

ConvertingA MixedNumberTo anImproper

MAD face

1. Multiply the denominator by the whole number then add the product to the numerator

2. That is the new numerator—keep the old denominator

Multiply, Add, keep the Denominator

6 x 5 + 3 630 + 3 6

33 6

1. Divide the numerator by the denominator

ConvertingAnImproperTo aMixed #

2. The quotient is the whole number

3. The remainder is the new numerator

4. Keep the same denominator

Example Convert 26 to a mixed number 3

3 268

-242

R 2

Example1. Convert all mixed numbers into improper fractions

2. Find a common denominator

3. Add or subtract the numerators4. Keep the common denominator

5. Write in simplest form

You try Workbook

p 63

# 1-20

Multiplying Fractions 11/3

2. Simplify by taking common factors out of the numerators and denominators 3. Multiply numerators together

Steps to multiply fractions

4. Multiply denominators together

5. Write in simplest form (change all improper fractions back into mixed numbers)

1. Convert all mixed numbers into improper fractions

Example2. Simplify by taking common factors out of the numerators and denominators

÷ 5

÷ 53. Multiply numerators together4. Multiply denominators together

5. In simplest form

You try Workbook

P 67

# 1-21 odd

1. Convert all mixed numbers into improper fractions

2. Keep 1st fraction

Steps to divide fractions

3. Change Division to multiplication

4. Flip Write the reciprocal of the 2nd fraction

5. Follow steps to multiply fractions

Dividing Fractions 11/3

Example

Keep

XChangeFlip

Multiply÷ 4

÷ 4

You try Workbook

 p 69

# all