Positive and Negative Fractions

Georgia Standards Of Excellence 7.NS.1b: Understand p + q as the number located a distance |q| from p, in the positive or negative direction, depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.7.NS.1c: Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.7.NS.2a: Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers.7.NS.2b: Understand that integers can be divided, provided that the divisor is not zero, and that every quotient of integers (with non-zero divisor) is a rational number. Understand that if p and q are integers, then –(p = (–p) = p How to Add Positive and Negative Fractions Subtracting Mixed Numbers Video How to Multiply Positive and Negative Fractions How to Divide Positive and Negative Fractions Fraction Matching Match each problem with its correct answer. -9 + (-3 -6 14 1 - 5 5 8 11 4 + 5 1 19 1 2 + 2 3 4 5 1 1 x 3 1 1 When typing your answers for the problems below remember: If your answer is a mixed number, you will need to put a space between whole number and the fraction when you put your answer in the box. Solve:1 (-3 Answer: -1 Solve: 82 104 Answer: 18 6 Solve: 2 ×7 Answer: 2 Find the perimeter of the triangle. 13 inches 92 75 1 1 1 5 2 1 2 5 Kelly made six batches of cookies. Her friends asked her to make an extra batch. She used 171 of sugar and needs another7 for the extra batch. How many cups of sugar will Kelly use altogether? 16 3 132 18 1 18 1 It takes Lara 1 hour to walk to the library3 mile away. What is her walking pace? 1 mph 4 mph 2 1 mph 15 mph A recipe calls for 1 teaspoon of vanilla extract. If the recipe is doubled, how much vanilla extract is needed? 1 tsp 1 tsp 1 tsp 1 tsp Jeremy and his friends ate 5 of a pie. If the pie was cut into eight pieces, how much pie is left over? 1 2 1 3