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.
Practice 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. […]
Read More
Solving Word Problems by Adding and Subtracting Fractions and Mixed Numbers
Learn How to Solve Fraction Word Problems with Examples and Interactive Exercises Example 1: Rachel rode her bike for one-fifth of a mile on Monday and two-fifths of a mile on Tuesday. How many miles did she ride altogether? Analysis: To solve this problem, we will add two fractions with like denominators. Solution: Answer: Rachel rode her bike […]
Read More
Subtracting Mixed Numbers
Example 1: As part of his marathon training, Carlos ran three and one-fourth miles yesterday and one and three-fourths miles the day before. How much farther did Carlos run yesterday than the day before? Analysis: This problem is asking us to subtract mixed numbers with like denominators. In the last lesson, we learned that to add mixed numbers, add the […]
Read More
Adding Mixed Numbers
Example 1: Martha added four and one-fifth packages of soil to her garden on Monday and three and two-fifths packages of soil on Friday. How many packages of soil did she add in all? Analysis: This problem is asking us to add mixed numbers. The fractions have like denominators. We will add the whole numbers and add the fractions […]
Read More
Adding and Subtracting Fractions with Unlike Denominators
Problem: A pizza restaurant had two equally-sized pizzas, each sliced into equal parts. At the end of the day, there was a third of one pizza, and a sixth of another pizza left over. How much pizza was left over altogether? Analysis: This problem is asking us to add two one-third and one-sixth together. But we cannot […]
Read More
Lesson on Subtracting Fractions with Like Denominators
Example 1: Nick was at a party and saw a pizza divided into eight equal parts (slices). By the time he got to the food table, only 7 slices of pizza were there. If Nick ate 2 of those slices, then what part of the pizza was left for other guests to eat? Analysis: We […]
Read More
Adding Fractions with Like Denominators
To add or subtract items, the units must be the same. For example, look at the items being added below. 2 apples + 3 apples = 5 apples 6 oranges + 3 oranges = 9 oranges 2 quarters + 5 quarters = 7 quarters 2 nickels + 3 nickels = 5 nickels We cannot add apples and […]
Read More
Solutions: Multiplying and Dividing Fractions and Mixed Numbers
Multiplying Fractions Multiplying Fractions by Cancelling Common Factors Multiplying Mixed Numbers Reciprocals Dividing Fractions Dividing Mixed Numbers Solving Word Problems Practice Exercises Challenge Exercises
Read More
Solutions: Adding and Subtracting Fractions and Mixed Numbers
Adding Fractions Subtracting Fractions Adding and Subtracting Fractions with Unlike Denominators Adding Mixed Numbers Subtracting Mixed Numbers Solving Word Problems Practice Exercises Challenge Exercises
Read More
Solutions: Sets and Set Theory
Introduction to Sets There are four suits in a standard deck of playing cards: hearts, diamonds, clubs and spades. C is the set of whole numbers less than 10 and greater than or equal to 0. Set D is the even whole numbers less than 10, and set E is the odd whole numbers less than 10. Set G is the […]
Read More