# Math: Fractions and Decimals 105

This class explains how to add, subtract, multiply, and divide fractions and decimals, as well as how to convert these numbers to percentages.

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## Class Details

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 percentages.
Version:
1.0
Difficulty:
Beginner
Number of Lessons:
22
Spanish, Chinese
Related 2.0 Class:
Math: Fractions and Decimals 111

## Class Outline

• Objectives
• What Is a Fraction?
• Reducing 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
• 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

## 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.

## Certifications

NIMS
• Metalforming I
MSSC
• MSSC Quality Practices and Measurement

## Glossary

Vocabulary Term Definition
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.