Evaluate numerical expressions involving fractions

Learning Objectives Identify the components of a numerical expression involving fractions. Apply the order of operations (PEMDAS/BODMAS) to expressions containing fractions. Accurately perform addition and subtraction of fractions within expressions. Accurately perform multiplication and division of fractions within expressions. Convert mixed numbers to improper fractions and vice versa when evaluating expressions. Simplify fractional answers to their lowest terms. Ever wonder how bakers adjust recipes when they need to make half a batch or double a recipe? 🍰 It all comes down to evaluating expressions with fractions! In this lesson, you'll learn how to break down and solve complex math problems that include fractions and multiple operations. Mastering this skill is c...

TermDefinitionExample Numerical ExpressionA mathematical phrase that contains numbers and operation symbols (like +, -, ×, ÷) but no equals sign.$rac{1}{2} + rac{3}{4} imes 2$ FractionA number that represents a part of a whole. It is written as a ratio of two integers, a numerator over a denominator.$rac{3}{5}$ (3 is the numerator, 5 is the denominator) NumeratorThe top number in a fraction, indicating how many parts of the whole are being considered.In $rac{2}{7}$, the numerator is 2. DenominatorThe bottom number in a fraction, indicating the total number of equal parts the whole is divided into.In $rac{2}{7}$, the denominator is 7. Order of OperationsA set of rules that dictates the sequence in which mathematical operations should be performed in an expression (often remembered by...

Order of Operations (PEMDAS/BODMAS) Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Always follow this order to ensure you get the correct answer when an expression has multiple operations. Treat operations inside parentheses as a single unit first. Adding and Subtracting Fractions To add or subtract fractions, they must have a common denominator. Find the least common multiple (LCM) of the denominators, convert the fractions, then add or subtract the numerators while keeping the common denominator. $\frac{a}{b} + \frac{c}{d} = \frac{ad+bc}{bd}$ (after finding common denominator) This rule ensures you are combining or separating parts of the same size. Always simplify the resulting fract...