Overcome Your Fear of Fractions Once and for All - Fractions & Mixed Numbers(Summer Math Series)

Kick off your summer math review with this comprehensive guide to fractions! This video covers everything from basic operations with fractions and mixed numbers to solving equations that involve fractions. We'll tackle 10 examples plus a bonus question to help you brush up on these fundamental concepts that are crucial for success in higher-level math. In this tutorial, you will discover: Adding & Subtracting Fractions: The importance of a common denominator. Finding the least common multiple (LCM) using multiples or prime factorization. Converting fractions to equivalent forms with a common denominator. Adding/subtracting numerators and keeping the denominator. Converting improper fractions to mixed numbers. Reducing fractions to lowest terms. Multiplying Fractions: No need for a common denominator! Pre-reducing (cross-cancellation) numerator and denominator or diagonally. Multiplying numerators and denominators straight across. Dividing Fractions: The "Keep it, Change it, Flip it" method (multiplying by the reciprocal). Reducing before multiplying. Working with Mixed Numbers: Adding Mixed Numbers: Two methods – converting to improper fractions or adding whole numbers and fractions separately (with borrowing if needed for subtraction). Subtracting Mixed Numbers: Stacking vertically and borrowing from the whole number when necessary. Multiplying Mixed Numbers: Always convert to improper fractions first. Dividing Mixed Numbers: Always convert to improper fractions first, then "Keep it, Change it, Flip it." Solving Equations with Fractions: Distributing fractions into parentheses. Clearing the denominators by multiplying the entire equation by the least common multiple of all denominators. Solving the resulting equation for the variable. Handling complex fractions (fractions within fractions) by treating the main fraction bar as division. This video is perfect for students reviewing pre-algebra and algebra concepts over the summer, or anyone needing a refresher on fractions! Timestamps: 0:00 - Introduction to Summer Math Series: Fractions 0:40 - Example 1: Adding Fractions (2/3 + 5/6) - Common Denominators & LCM 2:40 - Example 2: Subtracting Fractions (7/12 - 3/20) - Finding LCM with Prime Factorization 5:50 - Example 3: Multiplying Fractions (5/6 * 3/20) - Pre-Reducing (Cross-Cancellation) 7:30 - Example 4: Dividing Fractions (4/21 ÷ 12/7) - Keep It, Change It, Flip It 9:10 - Example 5: Adding Mixed Numbers (2 1/3 + 3 3/4) - Two Methods: Improper Fractions vs. Vertical Stacking 13:00 - Example 6: Subtracting Mixed Numbers (7 5/6 - 2 9/10) - Vertical Stacking with Borrowing 15:30 - Example 7: Multiplying Mixed Numbers (3 4/9 * 5 1/7) - Convert to Improper Fractions First 17:40 - Example 8: Dividing Mixed Numbers (4 11/16 ÷ 3 1/4) - Convert to Improper, Then Keep It, Change It, Flip It 19:40 - Example 9: Solving Equations with Fractions (5/6(x - 2) = 4) - Distributing & Clearing Denominators 23:30 - Example 10: Solving Equations with Mixed Numbers & Fractions (3 1/2 - 2y = 4 1/3 + 3/5y) - Clearing Denominators 26:50 - Bonus Question: Complex Fractions in Equations ((3x - 7)/ (1/2) = 11) - Treating as Division & Clearing Denominators Don't forget to like, comment, and subscribe for more math tutorials and summer review videos! #Fractions #MixedNumbers #SummerMath #MathReview #AlgebraHelp #PreAlgebra #AddingFractions #SubtractingFractions #MultiplyingFractions #DividingFractions #SolvingEquations ➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, and PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos) https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join