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Math: Fractions and Decimals 105

Shop Essentials Training

Class Information

Tooling U classes are offered at the beginner, intermediate, and advanced levels. The typical class consists of 12 to 25 lessons and typically requires at least two hours of instruction time.

Class Name:	Math: Fractions and Decimals 105
Description:	This class explains how to add, subtract, multiply, and divide fractions and decimals, as well as how to convert these numbers to percents.
Prerequisites:	800100
Difficulty:	Beginner
Number of Lessons:	22

Class Outline

Objectives
What Is a Fraction?
Reducing Fractions
Adding Fractions
Subtracting Fractions
Multiplying Fractions
Dividing Fractions
Improper Fractions and Mixed Numbers
Adding and Subtracting Mixed Numbers
Multiplying and Dividing Mixed Numbers
What Is a Decimal?
Rounding Decimals
Adding and Subtracting Decimals
Multiplying Decimals
Dividing Decimals
Repeating Decimals
Converting Fractions and Decimals
What Is a Percent?
Converting Decimals and Percents
Determining Percents: A Sample Problem
Determining Percents: Sample Problem II
Summary

Class Objectives

Define fraction.
Reduce a fraction to its lowest terms.
Solve an addition problem using fractions.
Solve a subtraction problem using fractions.
Solve a multiplication problem using fractions.
Solve a division problem using fractions.
Define improper fraction.
Define mixed number.
Solve an addition problem using mixed numbers.
Solve a subtraction problem using mixed numbers.
Solve a multiplication problem using mixed numbers.
Solve a division problem using mixed numbers.
Define decimal.
Round a decimal.
Solve an addition problem using decimals.
Solve a subtraction problem using decimals.
Solve a multiplication problem using decimals.
Solve a division problem using decimals.
Define repeating decimal.
Convert a fraction to a decimal.
Convert a decimal to a fraction.
Define percent.
Convert a decimal to a percent.
Convert a percent to a decimal.
Determine a percent using a sample situation.
Determine a percent using a sample shop situation.

Class Vocabulary
decimal		A dot that indicates "less than one." When reading a number with a decimal, read the decimal as "and."
denominator		Expression in the bottom location of a fraction below the fraction bar.
diameter		The distance from one edge of the circle to the opposite end through the center.
dividend		The quantity that a number is divided into. The dividend is in the numerator of a fraction.
divisor		The quantity by which a number is divided. The divisor is in the denominator of a fraction.
fraction		A number expressed as a/b.
greatest common factor		The highest number that can evenly divide into two numbers.
improper fraction		A fraction in which the numerator is larger than the denominator. An example of an improper fraction is 20/4.
invert		To reverse, or flip the order. When dividing fractions, you invert the denominator, or divisor, of the division problem.
lowest common denominator		The smallest possible denominator that can be shared by two fractions.
lowest terms		The lowest number that a numerator and denominator becomes when it is reduced by its greatest common factor.
mixed number		A number that is a whole number and a fraction. An example of a mixed number is 4 3/5.
numerator		Expression in the top location of a fraction, above the fraction bar.
percent		A fraction in which the denominator is 100.
place value		The location on the number grid where a digit appears in a number. Place values are expressed in values of ten.
proportional		A relationship between two values that expresses equality.
remainder		A number that is left over when a number does not divide evenly into another number.
repeating decimal		A number or a pattern of numbers that appears in a decimal and continues to repeat with no end.
rounding		A method used to shorten numbers. Rounding involves either increasing or decreasing a number to the next digit.
whole number		A number that is 1 or greater with no fractions or decimals.