FRACTION WORD PROBLEMS PLAYING DETECTIVE FINDING KEY WORDS Modified by Mr. Kohut, 2016

Math 2: 6-6 Dividing Fractions & Mixed #’s When reading word problems containing fractions, certain phrases can indicate the operation that you need to do in order to solve the word problem. Sunshine State Standards: MA.A.3.3.1-1, MA.A.3.3.1-3, MA.A.3.3.2-1, MA.A.4.3.1-2

Math 2: 6-6 Dividing Fractions & Mixed #’s Addition + “How much together?” “How far will she travel from home to the park, then to the library?” Subtraction − “How much more is needed?” “How much further than?” “How much is left?” “How bigger than?” Sunshine State Standards: MA.A.3.3.1-1, MA.A.3.3.1-3, MA.A.3.3.2-1, MA.A.4.3.1-2

Math 2: 6-6 Dividing Fractions & Mixed #’s Multiplication × “Times longer...” “The product of…” “A fraction of something…” Division ÷ “Find the quotient…” “Divided into to pieces…” “How many will fit?” “How many can be split from?” Sunshine State Standards: MA.A.3.3.1-1, MA.A.3.3.1-3, MA.A.3.3.2-1, MA.A.4.3.1-2

Math 2: 6-6 Dividing Fractions & Mixed #’s In the recent Student Government elections, Larry received of the votes for treasurer and Leah received of the votes. What fraction of the votes did both candidates earn together? 1 3 1 15 Sunshine State Standards: MA.A.3.3.1-1, MA.A.3.3.1-3, MA.A.3.3.2-1, MA.A.4.3.1-2

Math 2: 6-6 Dividing Fractions & Mixed #’s Solution: 1 3 1 15 ×5 + = ×5 5 15 1 15 5+1 15 + = = 6 15 2 5 = Together they received of the votes. 2 5 Sunshine State Standards: MA.A.3.3.1-1, MA.A.3.3.1-3, MA.A.3.3.2-1, MA.A.4.3.1-2

Math 2: 6-6 Dividing Fractions & Mixed #’s One tree is 6 feet tall. Another one is only 3 feet tall. How much taller is the larger of two trees. 1 4 Sunshine State Standards: MA.A.3.3.1-1, MA.A.3.3.1-3, MA.A.3.3.2-1, MA.A.4.3.1-2

Math 2: 6-6 Dividing Fractions & Mixed #’s Solution: 4 4 6 5 = 1 4 − 3 3 4 2 The larger tree is feet taller than the smaller one. 2 1 4 Sunshine State Standards: MA.A.3.3.1-1, MA.A.3.3.1-3, MA.A.3.3.2-1, MA.A.4.3.1-2

Math 2: 6-6 Dividing Fractions & Mixed #’s 1 3 Sean swam 2 miles at swim team practice. If Becky swam 1 times as far as Sean, then how many miles did Becky swim? 1 2 Sunshine State Standards: MA.A.3.3.1-1, MA.A.3.3.1-3, MA.A.3.3.2-1, MA.A.4.3.1-2

Math 2: 6-6 Dividing Fractions & Mixed #’s Solution: 1 3 1 2 2 1 × = 7 3 3 2 21 6 3 6 1 2 3 3 × = = = Becky swam miles at swim team practice. 3 1 2 Sunshine State Standards: MA.A.3.3.1-1, MA.A.3.3.1-3, MA.A.3.3.2-1, MA.A.4.3.1-2

Math 2: 6-6 Dividing Fractions & Mixed #’s Charlie works at a livery and uses a 60 pound bag of oats to feed the horses. If each horse gets pounds of food, then how many horses can Charlie feed with one bag of oats? 4 5 Sunshine State Standards: MA.A.3.3.1-1, MA.A.3.3.1-3, MA.A.3.3.2-1, MA.A.4.3.1-2

Math 2: 6-6 Dividing Fractions & Mixed #’s Solution: 4 5 60 1 4 5 60 ÷ = ÷ = 60 1 5 4 300 4 75 × = = One bag of oats can feed 75 horses. Sunshine State Standards: MA.A.3.3.1-1, MA.A.3.3.1-3, MA.A.3.3.2-1, MA.A.4.3.1-2

What are some other key words that you know for word problems? There are many other key words that will help you discover what a word problem is asking you to do. What are some other key words that you know for word problems?