Step by Step Math Lessons

Our math lessons are designed to make math meaningful to the student. They will guide learners through mathematical concepts, breaking down each step in a clear and understandable manner. They provide a structured approach to learning math, ensuring comprehensive understanding and proficiency. Each math lesson provides in-depth instruction ideal for learners of all ages and abilities. Choose a topic below to start your adventure.

Arithmetic Sequence Formula	Linear Equations
Associative Property	Logic
Circumference and Area of Circles	Mean Absolute Deviation
Commutative Property	Mean Median Mode
Consumer Math	Percentages
Data and Graphs	Perimeter and Area
Decimals – Add and Subtract	Perpendicular Lines
Decimals – Multiply and Divide	Place Values
Decimals – How to Multiply	Point Slope Form
Distributive Property	Pre-Algebra
Elementary Math	Probability
Exponents	Pythagorean Identities
Equations – Solving Single and Double Steps	Pythagorean Theorem
Fractions Introduction	Rate of Change
Fractions and Mixed Numbers – Add and Subtract	Rounding
Fractions and Mixed Numbers – Multiply and Divide	Sets and Set Theory
Fractions – Adding Unlike Denominators	Special Right Triangle
Fractions – Improper Fractions	Volume of a Triangular Pyramid
Integer Properties

Challenge Exercises: Multiplying and Dividing Fractions and Mixed Numbers

Directions: Perform the necessary operation in each exercise below. Be sure to simplify your result, if necessary. Click once in an ANSWER BOX and type in your answer; then click ENTER. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR. […]

Practice Exercises: Multiplying and Dividing Fractions and Mixed Numbers

Solving Problems by Multiplying and Dividing Fractions and Mixed Numbers

Fraction Word Problems With Interactive Exercises Example 1: If it takes 5/6 yards of fabric to make a dress, then how many yards will it take to make 8 dresses? Analysis: To solve this problem, we will convert the whole number to an improper fraction. Then we will multiply the two fractions. Solution: Answer: It will […]

Dividing Mixed Numbers

Example 1: Jack has a piece of wood that is 12 and 2/3 inches long. He divides the wood into pieces that are 3 and 4/5 inches long. How many pieces will he have? Analysis: We need to divide these mixed numbers in order to solve this problem. Solution: First we will convert each mixed […]

Dividing Fractions

Division indicates how many times one quantity is contained in another quantity. For example, in the illustration below, you can see that the whole number 2 contains 6 thirds. Since 2 contains 6 one-thirds, we can say that 2 divided by one-third is 6. so 2 ÷ = 6 […]

Reciprocals

Example 1: What is the relationship between three-fourths and four-thirds? Analysis: Let’s try finding three-fourths of four-thirds. The word OF means “times”, which indicates that we need to multiply. Solution: Answer: The product of three-fourths and four-thirds is 1. This product is no coincidence. Three-fourths and four-thirds are reciprocals. Definition: Two numbers whose product is 1 are called reciprocals of […]

Multiplying Mixed Numbers

Example 1: Nina’s garden is 4 and 2/3 feet long and 1 and 1/8 feet wide. What is the area of the garden? Analysis: We will multiply these mixed numbers in order to solve this problem. Solution: First we will convert each mixed number to an improper fraction. Then we can multiply. Step 1: Step 2: Answer: The area […]

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Multiplying Fractions By Cancelling Common Factors

Example 1: Multiply. Solution: We will multiply these two fractions, and then simplify the result. Step 1: Step 2: There are two ways to solve this problem: We can reduce the result to lowest terms as we did above. This can get tedious, especially given the large numbers in the problem. We can cancel (divide out) common factors before we […]

Multiplying Fractions

Example 1: Tyrone had a chocolate bar, of which he gave one-half to his friend Nora. Nora gave one-half of her piece to her friend Eduardo. What fractional part of the original chocolate bar did Eduardo get? Analysis: We are taking part of a part. So we must end up with an even smaller part. The word […]

Challenge Exercises: Adding and Subtracting Fractions and Mixed Numbers

Directions: Perform the necessary operation(s) in each exercise below. Be sure to simplify your result, if necessary. Click once in an ANSWER BOX and type in your answer; then click ENTER. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR. […]