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Adding and subtracting simple fractions In today's lesson we covered the  addition  and  subtraction   of  simple fractions  (fractions where the denominator are the same). Keywords (learn these!): Denominator  – The bottom number of a fraction. Numerator  – The top number of a fraction.
When fractions have the same denominator it is quite easy to add them together and to subtract them. For example, + = = We can show this calculation in a diagram: + = Adding and subtracting simple fractions Denominator  – The bottom number of a fraction. Numerator  – The top number of a fraction. 3 5 1 5 3 + 1 5 4 5
Adding and subtracting simple fractions = = Fractions should always be cancelled down to their lowest terms. 1 2 = We can show this calculation in a diagram: – = Denominator  – The bottom number of a fraction. Numerator  – The top number of a fraction. 7 8 – 3 8 7 – 3 8 4 8 1 2
Adding and subtracting harder fractions In today's lesson we also covered the  addition  and  subtraction   of  harder fractions  (fractions where the denominator are not the same). Keywords (learn these!): Denominator  – The bottom number of a fraction. Numerator  – The top number of a fraction. Equivalent  – The same as
We can change a fraction into another fraction which is an  equivalent  fraction  (the same fraction) by multiplying or dividing the  numerator  and  denominator  by the same number. Adding and subtracting simple fractions Denominator  – The bottom number of a fraction. Numerator  – The top number of a fraction. Equivalent  – The same as. 3 4 = 6 8 = 18 24 For example: To find an equivalent fraction we must multiply or divide the denominator and numerator by the same number. × 2 × 2 × 3 × 3
We can use  equivalent  fractions to add fractions that do not have the same  denominator . Adding and subtracting simple fractions 3 4 + 1 8 For example: Denominator  – The bottom number of a fraction. Numerator  – The top number of a fraction. Equivalent  – The same as. 3 4 = 6 8 Now we have: + + 1 8 6 8 = 7 8 We need to change  into an equivalent fraction with a denominator of 8. 3 4 × 2 × 2

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Adding and Subtracting Fractions

  • 1. Adding and subtracting simple fractions In today's lesson we covered the addition and subtraction of simple fractions (fractions where the denominator are the same). Keywords (learn these!): Denominator – The bottom number of a fraction. Numerator – The top number of a fraction.
  • 2. When fractions have the same denominator it is quite easy to add them together and to subtract them. For example, + = = We can show this calculation in a diagram: + = Adding and subtracting simple fractions Denominator – The bottom number of a fraction. Numerator – The top number of a fraction. 3 5 1 5 3 + 1 5 4 5
  • 3. Adding and subtracting simple fractions = = Fractions should always be cancelled down to their lowest terms. 1 2 = We can show this calculation in a diagram: – = Denominator – The bottom number of a fraction. Numerator – The top number of a fraction. 7 8 – 3 8 7 – 3 8 4 8 1 2
  • 4. Adding and subtracting harder fractions In today's lesson we also covered the addition and subtraction of harder fractions (fractions where the denominator are not the same). Keywords (learn these!): Denominator – The bottom number of a fraction. Numerator – The top number of a fraction. Equivalent – The same as
  • 5. We can change a fraction into another fraction which is an equivalent fraction (the same fraction) by multiplying or dividing the numerator and denominator by the same number. Adding and subtracting simple fractions Denominator – The bottom number of a fraction. Numerator – The top number of a fraction. Equivalent – The same as. 3 4 = 6 8 = 18 24 For example: To find an equivalent fraction we must multiply or divide the denominator and numerator by the same number. × 2 × 2 × 3 × 3
  • 6. We can use equivalent fractions to add fractions that do not have the same denominator . Adding and subtracting simple fractions 3 4 + 1 8 For example: Denominator – The bottom number of a fraction. Numerator – The top number of a fraction. Equivalent – The same as. 3 4 = 6 8 Now we have: + + 1 8 6 8 = 7 8 We need to change into an equivalent fraction with a denominator of 8. 3 4 × 2 × 2