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Fractions: Adding Like Denominators A fraction has two numbers: 3 4 = the number of parts = the total number of parts that equal the whole The two numbers are called: 3 4 = numerator = denominator When adding fractions that have like denominators, you only need to add the numerators. 3 + 1 4 = 4 4 4 1/4 1/4 1/4 1/4 You can simplify your answer because: 4 1 whole = 4 Try adding these fractions: 3 + 1 4 = 5 5 5 1/5 1/5 1/5 1/5 Now, try adding these fractions: 1/4 2 + 1 3 = 4 4 4 1/4 1/4 What is your answer when you add these? 1 6 1 6 1 6 1 6 1 6 3 + 2 = 5 6 6 6 Add these fractions and see what you get. 1 6 1 6 1 6 1 6 2 + 2 = 4 6 6 6 Now try and simplify your answer. 4 2 2 ÷ = 6 2 3 Try adding these fractions on your own. 5 + 3 = 8 12 12 12 Now, it is time to simplify your answer. 8 4 2 ÷ = 12 4 3 Add these fractions. 1 + 3 = 4 10 10 10 Simplify Your Answer. 4 2 2 ÷ = 10 2 5 Add these fractions. 4 + 3 = 7 9 9 9 This answer cannot be simplified because the number 7 cannot be divided evenly by any number. Add these fractions. 3 + 1 = 4 8 8 8 = 1 2 Add these fractions. 2 + 9 1 = 3 9 9 Simplify Your Answer. 3 3 ÷ = 9 3 Modified from Fractions VII Adding Like Denominators by Monica Yuskaitis 1 3