Fractions and mixed numbers review

Learning Objectives Identify and define key terms related to fractions and mixed numbers. Accurately convert improper fractions to mixed numbers. Accurately convert mixed numbers to improper fractions. Determine if two fractions are equivalent. Simplify fractions to their simplest form. Compare and order fractions and mixed numbers. Ever wonder how to share a pizza fairly among friends, or measure ingredients for a recipe? 🍕 Fractions are everywhere! In this lesson, we'll review the basics of fractions and mixed numbers, focusing on how to understand, convert, and simplify them. Mastering these skills is crucial for more advanced math topics like ratios and percentages. Real-World Applications Baking and cooking recipes (e.g., 1/2 cup of flour) Measuring distanc...

TermDefinitionExample FractionA number representing a part of a whole or a part of a collection.In a pizza cut into 8 slices, if you eat 3, you've eaten 3/8 of the pizza. NumeratorThe top number in a fraction, indicating how many parts are being considered or taken.In the fraction 3/4, the numerator is 3. DenominatorThe bottom number in a fraction, indicating the total number of equal parts the whole is divided into.In the fraction 3/4, the denominator is 4. Proper FractionA fraction where the numerator is smaller than the denominator, representing a value less than one whole.1/2, 2/3, 5/8 Improper FractionA fraction where the numerator is greater than or equal to the denominator, representing a value equal to or greater than one whole.5/4, 7/3, 10/10 Mixed NumberA number consisting...

Converting Mixed Number to Improper Fraction $A \frac{B}{C} = \frac{(A \times C) + B}{C}$ To convert a mixed number ($A \frac{B}{C}$) to an improper fraction, multiply the whole number ($A$) by the denominator ($C$), add the numerator ($B$), and place the result over the original denominator ($C$). This tells you the total number of fractional parts. Converting Improper Fraction to Mixed Number $\frac{N}{D} = Q \frac{R}{D}$ (where $Q$ is the quotient and $R$ is the remainder when $N$ is divided by $D$) To convert an improper fraction ($\frac{N}{D}$) to a mixed number, divide the numerator ($N$) by the denominator ($D$). The quotient ($Q$) becomes the whole number, the remainder ($R$) becomes the new numerator, and the original denominator ($D$) stays the same. Simplifyin...