Add and Subtract Fractions with Like Denominators Mrs. Young EMC 1
Quick Review Denominator – the number at the bottom of the fraction.  This number names the total number of parts that equals a whole Like denominators This means that the denominators are the same (equal) Example: Look at the fractions below 3 4 1 4 Both fractions have the same denominator – called  like denominators and
Add Fractions with Like Denominators Step 1 : Add the numerators.  This sum becomes the numerator in your answer.   3 4 + 1 4 = 4
Step 2: Keep the same denominator that is in the problem.  3 4 + 1 4 = 4 4
Step 3: Simplify (reduce to the lowest terms) your answer 4 4 = 1 Remember that in order to find the simplest form, you must find the greatest common factor of the numerator and the denominator.  GCF = 4 ÷   ÷   4 4
Add Fractions with Like Denominators Step 1 : Add the numerators.  This sum becomes the numerator in your answer.   2 6 + 2 6 = 4
Step 2: Keep the same denominator that is in the problem. 2 6 + 2 6 = 4 6
Step 3: Simplify (reduce to the lowest terms) your answer 4 6 Remember that in order to find the simplest form, you must find the greatest common factor of the numerator and the denominator.  GCF = 2 ÷   ÷   2 2 = 2 3
You try it! 5 10 + 3 10 = 13 22 + 3 22 =
Subtract Fractions with Like Denominators To subtract fractions with like denominators, you follow the SAME steps as you did for addition, except you have to subtract!
Step 1: Subtract the numerators.  This sum becomes the numerator in your answer. 3 4 - 1 4 = 2
Step 2: Keep the same denominator that is in the problem. 3 4 - 1 4 = 2 4
Step 3: Simplify (reduce to the lowest terms) your answer Remember that in order to find the simplest form, you must find the greatest common factor of the numerator and the denominator.  GCF = 2 2 4 ÷   ÷   2 2 = 1 2
Step 1: Subtract the numerators.  This sum becomes the numerator in your answer. 13 6 - 9 6 = 4
Step 2: Keep the same denominator that is in the problem. 13 6 - 9 6 = 4 6
Step 3: Simplify (reduce to the lowest terms) your answer Remember that in order to find the simplest form, you must find the greatest common factor of the numerator and the denominator.  GCF = 2 4 6 ÷   ÷   2 2 = 2 3
Your turn! 11 10 - 7 10 = 13 22 - 3 22 =

Adding and Subtracting Fractions with Like Denominators

  • 1.
    Add and SubtractFractions with Like Denominators Mrs. Young EMC 1
  • 2.
    Quick Review Denominator– the number at the bottom of the fraction. This number names the total number of parts that equals a whole Like denominators This means that the denominators are the same (equal) Example: Look at the fractions below 3 4 1 4 Both fractions have the same denominator – called like denominators and
  • 3.
    Add Fractions withLike Denominators Step 1 : Add the numerators. This sum becomes the numerator in your answer. 3 4 + 1 4 = 4
  • 4.
    Step 2: Keepthe same denominator that is in the problem. 3 4 + 1 4 = 4 4
  • 5.
    Step 3: Simplify(reduce to the lowest terms) your answer 4 4 = 1 Remember that in order to find the simplest form, you must find the greatest common factor of the numerator and the denominator. GCF = 4 ÷ ÷ 4 4
  • 6.
    Add Fractions withLike Denominators Step 1 : Add the numerators. This sum becomes the numerator in your answer. 2 6 + 2 6 = 4
  • 7.
    Step 2: Keepthe same denominator that is in the problem. 2 6 + 2 6 = 4 6
  • 8.
    Step 3: Simplify(reduce to the lowest terms) your answer 4 6 Remember that in order to find the simplest form, you must find the greatest common factor of the numerator and the denominator. GCF = 2 ÷ ÷ 2 2 = 2 3
  • 9.
    You try it!5 10 + 3 10 = 13 22 + 3 22 =
  • 10.
    Subtract Fractions withLike Denominators To subtract fractions with like denominators, you follow the SAME steps as you did for addition, except you have to subtract!
  • 11.
    Step 1: Subtractthe numerators. This sum becomes the numerator in your answer. 3 4 - 1 4 = 2
  • 12.
    Step 2: Keepthe same denominator that is in the problem. 3 4 - 1 4 = 2 4
  • 13.
    Step 3: Simplify(reduce to the lowest terms) your answer Remember that in order to find the simplest form, you must find the greatest common factor of the numerator and the denominator. GCF = 2 2 4 ÷ ÷ 2 2 = 1 2
  • 14.
    Step 1: Subtractthe numerators. This sum becomes the numerator in your answer. 13 6 - 9 6 = 4
  • 15.
    Step 2: Keepthe same denominator that is in the problem. 13 6 - 9 6 = 4 6
  • 16.
    Step 3: Simplify(reduce to the lowest terms) your answer Remember that in order to find the simplest form, you must find the greatest common factor of the numerator and the denominator. GCF = 2 4 6 ÷ ÷ 2 2 = 2 3
  • 17.
    Your turn! 1110 - 7 10 = 13 22 - 3 22 =