Author: admin
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Multiplying fractions
When multiplying fractions in order to find the product of two or more fractions, you just need to follow these three simple steps basically. Step 1: Multiply the numerators together. The numerators are also called top numbers. Step 2: Multiply the denominators together. The denominators are also called bottom numbers. Step 3: Finally, try to simplify the product if…
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Subtracting fractions with the same or different denominators
Subtracting fractions is easier than you think since it is very similar to adding fractions. Just like adding fractions, you need to keep in mind the following four important rules. How to subtract fractions with like denominators As shown in the figure above, the subtraction of 2/8 from 5/8 is simple. Since the denominator is the…
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Adding mixed numbers
Adding mixed numbers is the goal of this lesson. We will get you through this with some carefully chosen examples to help you master the topic. A mixed number is any number that has the following format: 4 23Anything that is a combination of a whole number and a proper fraction is a mixed number…
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Adding mixed numbers
Adding mixed numbers is the goal of this lesson. We will get you through this with some carefully chosen examples to help you master the topic. A mixed number is any number that has the following format: 4 23Anything that is a combination of a whole number and a proper fraction is a mixed number…
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Adding fractions with the same or different denominators!
Why can’t you add the denominators when adding fractions? Let’s illustrate why it does not make sense to add the denominators using an easy example. The figure below shows the wrong way to add 1 / 2 and 1 / 2. This mistake is quite common when learning fractions for the first time! Notice that 1 +…
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Comparing Fractions
In this lesson, you will learn about comparing fractions. Before you start this lesson, I recommend that you study or review my lesson about fractions. Before I show you two ways to compare fractions, you will need to learn the following. Cross product: The answer obtained by multiplying the numerator of one fraction by the denominator…
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Types of fractions: proper fraction, improper fraction, and mixed number
A concise but great lesson about the different types of fractions such as improper fractions, proper fractions, and mixed numbers. Examples showing the different types of fractions Improper fractions: Fractions with a numerator that is bigger than the denominator. For instance, the following fractions are improper. 92 , 74 , and 83 Proper fraction:…
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Introduction to fractions
Fractions are used to indicate the number of parts of a whole. Suppose you go to Domino’s pizza and order a medium pizza. If your pizza has 8 slices and you did not eat the whole pizza, this means that parts of the whole pizza will be left on the pizza box. The pizza on…
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Logic Gates and Circuits
Schematic or Graphical Representation of Boolean Expressions: The Boolean expressions can be graphically represented by using logic circuits. These logic circuits can be constructed using solid-state devices called gates, which are capable of switching voltage levels. If x and y are variables, then the basic expressions x ∧ y (AND), x ∨ y (OR) and x’ (NOT)…
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Canonical Forms
There are two types of canonical forms: Disjunctive Normal Forms or Sum of Products or (SOP): A Boolean expression over ({0, 1}, ∨,∧,’) is said to be in disjunctive normal form if it is a join of minterms Example: (x1‘∧x2‘∧x3‘)∨( x1‘∧x2∧x3‘ )∨(x1∧x2∧x3) is a Boolean expression in disjunctive normal form. Since there are three min-terms x1‘∧x2‘∧x3‘,x1‘∧x2∧x3 and…