Chapter 4 Notes 7 th Grade Math Adding

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Chapter 4 Notes 7 th Grade Math

Chapter 4 Notes 7 th Grade Math

Adding and Subtracting Fractions Steps 10/30 1. Convert all mixed numbers into improper fractions

Adding and Subtracting Fractions Steps 10/30 1. Convert all mixed numbers into improper fractions 2. Find a common denominator 3. Add or subtract the numerators 4. Keep the common denominator 5. Write in simplest form (change all improper fractions back into mixed numbers)

Example Common denominator so add or subtract the numerator Already in simplest form

Example Common denominator so add or subtract the numerator Already in simplest form

Find a common denominator 24 Example x 4 Add or Subtract numerators Already in

Find a common denominator 24 Example x 4 Add or Subtract numerators Already in simplest form

Converting A Mixed Number To an Improper MAD face Multiply, Add, keep the Denominator

Converting A Mixed Number To an Improper MAD face Multiply, Add, keep the Denominator 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

6 x 5+3 6 30 + 3 6 33 6

6 x 5+3 6 30 + 3 6 33 6

Converting An Improper To a Mixed # 1. Divide the numerator by the denominator

Converting An Improper To a Mixed # 1. Divide the numerator by the denominator 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 8 R 2 3 26 -24

Example Convert 26 to a mixed number 3 8 R 2 3 26 -24 2

Example 1. Convert all mixed numbers into improper fractions 2. Find a common denominator

Example 1. Convert all mixed numbers into improper fractions 2. Find a common denominator 3. Add or subtract the numerators 4. Keep the common denominator 5. Write in simplest form

You try Workbook p 63 # 1 -20

You try Workbook p 63 # 1 -20

Multiplying Fractions Steps to multiply fractions 11/3 1. Convert all mixed numbers into improper

Multiplying Fractions Steps to multiply fractions 11/3 1. Convert all mixed numbers into improper fractions 2. Simplify by taking common factors out of the numerators and denominators 3. Multiply numerators together 4. Multiply denominators together 5. Write in simplest form (change all improper fractions back into mixed numbers)

2. Simplify by taking common factors out of the numerators and denominators Example ÷

2. Simplify by taking common factors out of the numerators and denominators Example ÷ 5 3. Multiply numerators together 4. Multiply denominators together 5. In simplest form

You try Workbook P 67 # 1 -21 odd

You try Workbook P 67 # 1 -21 odd

Dividing Fractions 11/3 Steps to divide fractions 1. Convert all mixed numbers into improper

Dividing Fractions 11/3 Steps to divide fractions 1. Convert all mixed numbers into improper fractions 2. Keep 1 st fraction 3. Change Division to multiplication 4. Flip Write the reciprocal of the 2 nd fraction 5. Follow steps to multiply fractions

Example Keep Change Flip X ÷ 4 Multiply ÷ 4

Example Keep Change Flip X ÷ 4 Multiply ÷ 4

You try Workbook p 69 # all

You try Workbook p 69 # all