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Pre-Algebra 11 - Fractions and Rational Numbers
The first fractions used by ancient civilizations were "unit fractions". Later, numerators other than one were added, creating "vulgar fractions" which became our modern fractions. Together, fractions and integers form the "rational...
Curated Video
Adding Mixed Numbers Using an Area Model
In this video, students learn how to add mixed numbers using an area model. The teacher explains the common mistake of not understanding the significance of the whole number in the mixed fraction. Through the use of area models, students...
Brian McLogan
How to determine the quotient between two mixed numbers
👉 Learn how to divide mixed numbers. To divide mixed numbers, we first convert the mixed numbers to improper fractions. After we have converted the mixed numbers to improper fractions, we can then multiply the first fraction by the...
Brian McLogan
How to subtract fractions with unlike denominators
👉 Learn how to add and subtract fractions whose denominators are not the same. Recall that when we want to add or subtract fractions having the same denominator, we add the numerators and retain the (common) denominator. This is...
Brian McLogan
Easy way to subtract two fractions with unlike denominators to determine the difference
👉 Learn how to add and subtract fractions whose denominators are not the same. Recall that when we want to add or subtract fractions having the same denominator, we add the numerators and retain the (common) denominator. This is...
Curated Video
Simplifying Fraction Multiplication by Canceling Common Factors
In this lesson, students will learn how to simplify fraction multiplication problems by canceling common factors. They will understand that multiplying fractions means taking a fraction of a fraction and learn different strategies to...
Brian McLogan
Learning how to identify compression and stretches of multiple functions
👉 Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Brian McLogan
Learn how to find the domain of a radical function
👉 Learn how to find the domain of a radical function. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a radical square-root function, there cannot be a negative number inside the...
Brian McLogan
How to use the half angle formula for tangent tan75
👉 Learn how to evaluate the Sine of an angle using the half-angle formula. The half-angle formula for Sine is helpful when you need to determine the exact value of function given an angle but cannot use a calculator or the angle is not...
Brian McLogan
Limit of a piecewise function left, right and general where there is a hole
👉 Learn all about the Limit. In this playlist, we will explore how to evaluate the limit of an equation, piecewise function, table and graph. We will explore continuity as well as discontinuities such as holes, asymptotes and jumps and...
Brian McLogan
How to find the integral with a radical
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...
Brian McLogan
Learn how to subtract a fraction from another negative fraction
👉 Learn how to add and subtract fractions whose denominators are not the same. Recall that when we want to add or subtract fractions having the same denominator, we add the numerators and retain the (common) denominator. This is...
Curated Video
Generating Equivalent Fractions Using Area Models
In this video lesson, students will learn how to generate equivalent fractions using area models. The teacher explains the concepts of numerators and denominators, as well as common mistakes students make when comparing fractions.
Curated Video
Converting Repeating Decimals into Fractions: Proving Rationality
This video introduces the concept of rational numbers and discusses the skepticism surrounding repeating decimals. Through examples and a pattern, the teacher shows how to convert repeating decimals into fractions, providing a clear...
Brian McLogan
Adding fractions - Math Tutoring Online - Math Skills
👉 Learn how to add and subtract fractions whose denominators are not the same. Recall that when we want to add or subtract fractions having the same denominator, we add the numerators and retain the (common) denominator. This is...
Brian McLogan
Adding Fractions - Help me with math
👉 Learn how to add and subtract fractions whose denominators are not the same. Recall that when we want to add or subtract fractions having the same denominator, we add the numerators and retain the (common) denominator. This is...
Brian McLogan
Domain of a rational function write in interval notation
👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...
Brian McLogan
Simplifying a rational trigonometric identity using pythagoren identities
👉 Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the terms on the left-hand side of the equality sign is equal to the terms on the right-hand side. To...
Brian McLogan
How to integrate when there is a radical in the denominator
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...
Brian McLogan
Evaluate the limit by looking at the graph with radical in the denominator
👉 Learn how to evaluate the limit of a radical function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The radical function is...
Brian McLogan
Dividing rational expressions
👉 Learn how to simplify expressions by dividing its terms. Remember that dividing a fraction is the same as multiplying by the reciprocal. When multiplying expressions, each individual term of the expression is multiplied to its like...
Brian McLogan
How to add fraction with unlike denominators and get improper answers
👉 Learn how to add and subtract fractions whose denominators are not the same. Recall that when we want to add or subtract fractions having the same denominator, we add the numerators and retain the (common) denominator. This is...
Brian McLogan
Learn how to expand a logarithmic expression and use parenthesis and brackets
👉 Learn how to expand logarithmic expressions involving radicals. A logarithmic expression is an expression having logarithms in it. To expand logarithmic expressions means to use the logarithm laws to expand (open up) logarithm...
Math Fortress
GRE Arithmetic: Fractions (Part 2 of 5)
This video is a review of basic arithmetic for the purpose of solving problems on the quantitative reasoning section of the GRE revised General Test. This video covers the basics of fractions. Topics covered include: addition and...