**South Carolina Education Standards & Learning**. Fraction operations are the processes of adding, subtracting, multiplying and dividing fractions and mixed numbers. A mixed number is a fraction with a whole number. Adding fractions is common in many everyday events, such as making a recipe and measuring wood. In order to add and subtract fractions, the fractions must have the same denominator. Read More...

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Fraction OperationsWorksheet/Answer key

Fraction Operations

SC.7.NS. The Number System

7.NS.1. Extend prior knowledge of operations with positive rational numbers to add and to subtract all rational numbers and represent the sum or difference on a number line.

7.NS.1b. Understand that the sum of two rational numbers (p+q) represents a distance from p on the number line equal to |q| where the direction is indicated by the sign of q.

7.NS.1e. Apply mathematical properties (e.g., commutative, associative, distributive, or the properties of identity and inverse elements) to add and subtract rational numbers.

7.NS.2. Extend prior knowledge of operations with positive rational numbers to multiply and to divide all rational numbers.

7.NS.2b. Understand sign rules for multiplying rational numbers.

7.NS.2c. Understand sign rules for dividing rational numbers and that a quotient of integers (with a non-zero divisor) is a rational number.

7.NS.2d. Apply mathematical properties (e.g., commutative, associative, distributive, or the properties of identity and inverse elements) to multiply and divide rational numbers.

7.NS.3. Apply the concepts of all four operations with rational numbers to solve real-world and mathematical problems.

7.NS.5. Extend prior knowledge to translate among multiple representations of rational numbers (fractions, decimal numbers, and percentages). Exclude the conversion of repeating decimal numbers to fractions.

SC.7.EEI. Expressions, Equations, and Inequalities

7.EEI.3. Extend previous understanding of Order of Operations to solve multi-step real-world and mathematical problems involving rational numbers. Include fraction bars as a grouping symbol.

7.EEI.4. Apply the concepts of linear equations and inequalities in one variable to real-world and mathematical situations.

7.EEI.4a. Write and fluently solve linear equations of the form ax+b=c and a(x+b)=c where a, b, and c are rational numbers.

7.EEI.4b. Write and solve multi-step linear equations that include the use of the distributive property and combining like terms. Exclude equations that contain variables on both sides.

7.EEI.4c. Write and solve two-step linear inequalities. Graph the solution set on a number line and interpret its meaning.

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