Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 3.6 Fractions and Problem Solving

Martin-Gay, Basic Mathematics, 4ed 22 Solving Problems Containing Fractions or Mixed Numbers Addition ( + ) Subtraction ( - ) Multiplication ( ∙ ) Division ( ÷ ) Equality ( = ) sum differenceproductquotientequals plus minus timesdivideis equal to added to subtractmultiply shared equally is/was more than less thanmultiply byamongyields increased by decreased byofdivided by total lessdouble/triple divided into

Martin-Gay, Basic Mathematics, 4ed 33 Problem-Solving Steps

Martin-Gay, Basic Mathematics, 4e 44 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example A nacho recipe calls for 1/2 cup cheddar cheese and 1/3 cup jalapeño cheese. Find the total amount of cheese in the recipe. Total amount of cheese = cheddar + jalapeno The total amount of cheese is 5/6 of a cup.

Martin-Gay, Basic Mathematics, 4e 55 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example Sony recently purchased a small camcorder. It measures 5 inches by 2 ½ inches by 1 ¾ inches and can store 30 minutes of moving images. Find the volume of a box with these dimensions. Volume = length  width  height

Martin-Gay, Basic Mathematics, 4ed 66 Solve Problems by Performing Operations on Fractions or Mixed Numbers Practice Problem 1 SOLUTION Find the volume of a box that measures feet by feet by feet. P 224

Martin-Gay, Basic Mathematics, 4e 77 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example in book on page 225 Given the following diagram, find its total length. Total length = first + second + third length P 225

Martin-Gay, Basic Mathematics, 4ed 88 Solve Problems by Performing Operations on Fractions or Mixed Numbers Practice Problem 3 SOLUTION Suppose that 25 acres of land are purchased, but because of roads and wetlands concerns, acres cannot be developed into lots. How many acre lots can the rest of the land be divided into. P 225

Martin-Gay, Basic Mathematics, 4e 99 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. DONE

Martin-Gay, Basic Mathematics, 4ed 10 Solve Problems by Performing Operations on Fractions or Mixed Numbers Practice Problem 2 SOLUTION Given the following diagram, find its total width. P 225 LCD is 16