**North Carolina Standard Course of Study**. 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 Operations

NC.7.NS. The Number System

Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

NC.7.NS.1. Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers, using the properties of operations, and describing real-world contexts using sums and differences.

NC.7.NS.2. Apply and extend previous understandings of multiplication and division.

NC.7.NS.2.a. Understand that a rational number is any number that can be written as a quotient of integers with a non-zero divisor.

NC.7.NS.2.b. Apply properties of operations as strategies, including the standard algorithms, to multiply and divide rational numbers and describe the product and quotient in real-world contexts.

NC.7.NS.3. Solve real-world and mathematical problems involving numerical expressions with rational numbers using the four operations.

NC.7.EE. Expressions and Equations

Solve real-world and mathematical problems using numerical and algebraic expressions, equations, and inequalities.

NC.7.EE.3. Solve multi-step real-world and mathematical problems posed with rational numbers in algebraic expressions.

NC.7.EE.3.a. Apply properties of operations to calculate with positive and negative numbers in any form.

NC.7.EE.3.b. Convert between different forms of a number and equivalent forms of the expression as appropriate.

NC.7.EE.4. Use variables to represent quantities to solve real-world or mathematical problems.

NC.7.EE.4.a. Construct equations to solve problems by reasoning about the quantities.

NC.7.EE.4.a.1. Fluently solve multistep equations with the variable on one side, including those generated by word problems.

NC.7.EE.4.b. Construct inequalities to solve problems by reasoning about the quantities.

NC.7.EE.4.b.2. Compare an algebraic solution process for equations and an algebraic solution process for inequalities.

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