Fractions Intro Like Fractions are fractions that have

Fractions Intro , Like Fractions , are fractions that have the same denominator.

Fractions Intro , , Unlike fractions are fractions that don’t have the same denominator.

Fractions Intro In adding unlike fractions, look for the LCD of their denominators. Look for their LCD. What is LCD? LCD is the Least Common Denominator. It is the Least Common Multiple of the denominators.

Fractions Intro Can you add together colored Make them the equal inyellow size. parts? What do we do? Divide the box into 6 equal parts. Not yet Why? The parts are not equal in size.

Fractions Intro

Fractions Intro + =

Fractions Adding Fractions Example 1 + Unlike fractions cannot be added together. Make them like fractions by looking for their LCD first.

Fractions Adding Fractions Example 1 X 2 X 3 + X 2 3 3, 6, 9, 12, 15, 18, … 2 2, 4, 6, 8, 10, 12, … LCM = 6 X 3 2 + 3 =

Fractions Adding Fractions Example 1 X 2 X 3 + X 2 Equivalent Fractions X 3 2 + 3 =

Fractions Adding Fractions Example 1 X 2 X 3 + X 2 X 3 Equivalent Fractions 2 + 3 =

Fractions Intro Divide the box into 10 equal parts.

Fractions Intro

Fractions Intro + =

Fractions Adding Fractions Example 2 + Unlike fractions cannot be added together. Make them like fractions by looking for their LCD first.

Fractions Adding Fractions Example 2 X 5 X 2 + X 5 2 2, 4, 6, 8, 10, 12, … 5 5, 10, 15, 20, 25, … LCM = 10 X 2 5 + 4 =

Fractions Adding Fractions Example 2 X 5 X 2 + X 5 Equivalent Fractions X 2 5 + 4 =

Fractions Adding Fractions Example 2 X 5 X 2 + X 5 X 2 Equivalent Fractions 5 + 4 =

Fractions Intro Divide the box into 24 equal parts.

Fractions Intro

Fractions Intro

Fractions Intro + =

Fractions Adding Fractions Example 3 + Unlike fractions cannot be added together. Make them like fractions by looking for their LCD first.

Fractions Adding Fractions Example 3 X 4 + X 4 X 3 9 + 8 8 8, 16, 24, 32, 40 … LCM = 24 6 6, 12, 18, 24, 30… =

Fractions Adding Fractions Example 3 X 4 + X 4 X 3 Equivalent Fractions 9 + 8 =

Fractions Adding Fractions Example 3 X 4 + X 4 X 3 Equivalent Fractions 9 + 8 =

Fractions Intro Divide the box into 18 equal parts.

Fractions Intro

Fractions Intro + =

Fractions Adding Fractions Example 4 + Unlike fractions cannot be added together. Make them like fractions by looking for their LCD first.

Fractions Adding Fractions Example 4 X 3 X 1 + X 3 6 6, 12, 18, 24, 30 … 18 18, 36, 54, 72 … LCM = 18 X 1 3 + 2 =

Fractions Adding Fractions Example 4 X 3 X 1 + X 3 Equivalent Fractions X 1 3 + 2 =

Fractions Equivalent Fractions

Fractions Equivalent Fractions

Fractions Equivalent Fractions Did the size of the shaded parts change?

Fractions Equivalent Fractions

Fractions Equivalent Fractions

Fractions Equivalent Fractions Did the size of the shaded parts change?

Fractions Intro

Fractions Intro

Fractions Intro + =

Fractions, Adding and Subtracting Adding Mixed Numbers Example 1 + Unlike fractions cannot be added together. Make them like fractions by looking for their LCD first.

Fractions, Adding and Subtracting Adding Mixed Numbers Example 1 + 2 2, 4, 6, 8, 10, 12, … 5 5, 10, 15, 20, 25, … LCM = 10

Fractions, Adding and Subtracting Adding Mixed Numbers Example 1 + Add first the whole numbers. 5 + 2 2, 4, 6, 8, 10, 12, … 5 5, 10, 15, 20, 25, … LCM = 10

Fractions, Adding and Subtracting Adding Mixed Numbers Example 1 X 5 + X 5 5 5 +

Fractions, Adding and Subtracting Adding Mixed Numbers Example 1 X 5 X 2 + X 2 X 5 5 5 + 4 =

Fractions, Adding and Subtracting Another Method in Getting LCD Example 1 X 2 2 3, 2 LCD = 6 3 3, 1 1 , 1 X 3 + X 2 X 3 2 X 3 =6 2 + 3 =

Fractions, Adding and Subtracting Another Method in Getting LCD Example 2 X 4 + + X 4 4 X 3 X 6 + X 3 X 6 6 + 3 = 2 3, 2, 4 LCD = 12 2 3 , 1, 2 3 3 , 1, 1, 1 2 X 2 X 3 = 12 =

Fractions, Adding and Subtracting Example 1 Fill in the Missing Numerators ? + 8 =

Fractions, Adding and Subtracting Example 2 Fill in the Missing Numerators ? + =

Fractions Intro Can you subtract the red from the part? Make them equal inblue size. What do we do? Not yet Why? The parts are not equal in size.

Fractions Intro

Fractions Intro =

Fractions Subtracting Fractions Example 1 X 3 X 2 X 3 2 2, 4, 6, 8, 10, 12, … 3 3, 6, 9, 12, 15, … LCM = 6 X 2 3 - 2 =

Fractions Intro Divide the box into 4 equal parts.

Fractions Intro

Fractions Intro =

Fractions Subtracting Fractions Example 2 X 1 X 2 2 2, 4, 6, 8, 10, 12, … 4 4, 8, 12, 16, 20, … LCM = 4 X 1 2 - 1 =

Fractions, Adding and Subtracting Review 3+ = 3

Fractions, Adding and Subtracting Review 6+ = 6

Fractions, Adding and Subtracting Review =1 ?

Fractions, Adding and Subtracting Review =1 ?

Fractions, Adding and Subtracting Review =1 ?

Fractions, Adding and Subtracting Review =1 ?

Fractions, Adding and Subtracting Review 5+ = 5

Fractions, Adding and Subtracting Review 5 = 6

Fractions, Adding and Subtracting Review 5+ = 5

Fractions, Adding and Subtracting Review 5 = 6

Fractions, Adding and Subtracting Review 5+ = 5 = 6

Fractions, Adding and Subtracting Review 7 + = 7 = 8

Fractions, Adding and Subtracting Review 7 + = 7 = 8

Fractions, Adding and Subtracting Review 4 + = 4 = 5

Fractions, Adding and Subtracting Example 1 Fill in the Missing Numerators = Makes 1 ? = Makes 2 ? ? = Makes 5

Fractions, Adding and Subtracting Example 2 Fill in the Missing Numerators = Makes 1 ? = Makes 2 ? ? = Makes 3

Fractions, Adding and Subtracting Example 3 Fill in the Missing Numerators = Makes ? I have 2 already, how much do I still need to make ?

Fractions, Adding and Subtracting Example 3 Fill in the Missing Numerators = Makes ? I have 1 already, how much do I still need to make ?

Fractions, Adding and Subtracting Example 4 Fill in the Missing Numerators = Makes ? I have 1 already, how much do I still need to make ?

Fractions, Adding and Subtracting Example 5 Fill in the Missing Numerators = Makes ? I have 3 already, how much do I still need to make ?

Fractions Intro Divide 1 whole of 3 wholes to 5 parts. How do you subtract 2/5 from 3?

Fractions Intro This is also equal to 3.

Fractions Intro =

Fractions, Adding and Subtracting Fraction From a Whole Example 1 3 -

Fractions, Adding and Subtracting Fraction From a Whole Example 1 3 - = = ? 2 -

Fractions, Adding and Subtracting Fraction From a Whole Example 2 7 - ? =6 = 6 -

Fractions, Adding and Subtracting Fraction From a Whole Example 3 3 - ? = 2 -

Fractions, Adding and Subtracting Fraction From a Whole Example 4 3 - ? = 2 -

Fractions, Adding and Subtracting Fractions From a Whole Example 1 7 = = 6 6 - - -

Fractions, Adding and Subtracting Fractions From a Whole Example 2 3 = = 2 = 3 - 2 - -

Fractions, Adding and Subtracting Fractions From a Whole Example 3 5 = = 4 = 5 - 4 - -

Fractions, Adding and Subtracting Fractions From a Whole Example 4 6 = = 5 = 6 - 5 - -

Fractions, Adding and Subtracting Example 5 9 Subtracting Fractions From a Whole = = 9 - - 8 - -

Fractions, Adding and Subtracting Example 4 9 Subtracting Fractions From a Whole = = = 9 - - 8 - -

Fractions, Adding and Subtracting Mixed Numbers Example 1 X 3 X 2 X 3 2 2 2, 4, 6, 8, 10, 12, … 3 3, 6, 9, 12, 15, … LCM = 6 X 2 Subtract first the whole numbers. 3 - 2 =

Fractions, Adding and Subtracting Mixed Numbers With Borrowing Example 1 X 3 X 2 - 8 is bigger than 3. So we have to borrow. X 3 X 2 Subtract first the whole numbers. 2 3 - 8

Fractions, Adding and Subtracting Example 1 (cont. ) Subtracting Mixed Numbers With Borrowing 1+ -

Fractions, Adding and Subtracting Example 1 (cont. ) Subtracting Mixed Numbers With Borrowing - 1+ 1+ + -

Fractions, Adding and Subtracting Example 1 (cont. ) Subtracting Mixed Numbers With Borrowing - 1+ 1+ + - =

Fractions, Adding and Subtracting Example 2 Subtracting 4 is. Mixed bigger Numbers than 1. So With Borrowing we have to borrow. 5 - = = = 4 4 5 - + -

Fractions, Adding and Subtracting Example 3 Subtracting 9 is. Mixed bigger Numbers than 4. So With Borrowing 4 + 66 12 we have to borrow. 6 - = = = 5 5 + -

Fractions, Adding and Subtracting Example 4 Subtracting 4 is. Mixed bigger Numbers than 3. So With Borrowing we have to borrow. 3 = = 2 = 3 33+ 6 - 2 + -