# Math: Fractions and Decimals 111

"Math: Fractions and Decimals" provides the methods used to perform basic mathematical operations using fractions, decimals, and percentages. The class covers addition, subtraction, multiplication, and division with fractions and decimals. It also discusses conversions between fractions, decimals, mixed numbers, and improper fractions.

Almost any manufacturing print uses fractions and decimals in its measurements. Knowing how to handle these numbers and convert between them is an essential part of the basic skills needed to work in a manufacturing environment.

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## Class Details

Class Name:
Math: Fractions and Decimals 111
Difficulty:
Beginner
Number of Lessons:
25

## Class Outline

• Fractions
• Parts of a Fraction
• Reducing Fractions
• Subtracting Fractions
• Multiplying Fractions
• Dividing Fractions
• Fraction Calculations Review
• Improper Fractions and Mixed Numbers
• Converting Improper Fractions and Mixed Numbers
• Subtracting Mixed Numbers
• Multiplying Mixed Numbers
• Dividing Mixed Numbers
• Mixed Numbers and Improper Fractions Review
• Decimals
• Rounding Decimals
• Multiplying Decimals
• Dividing Decimals
• Math Operations with Decimals Review
• Converting Fractions and Decimals
• Percentages
• Determining Percentages: Sample Problem
• Determining Percentages Review

## Objectives

• Define fraction.
• Distinguish between the two parts of a fraction.
• Explain how to 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.
• Contrast improper fraction and mixed number.
• Explain how to convert improper fractions and mixed numbers.
• Solve addition problems using mixed numbers.
• Solve subtraction problems using mixed numbers.
• Solve multiplication problems using mixed numbers.
• Solve division problems using mixed numbers.
• Define decimal.
• Explain how to round a decimal.
• Solve addition problems using decimals. Solve subtraction problems using decimals.
• Solve a multiplication problem using decimals.
• Solve a division problem using decimals.
• Explain how to convert a fraction to a decimal and a decimal to a fraction.
• Define percentage. Explain how to convert a percentage to a decimal and a decimal to a percentage.
• Calculate a percentage.

## Certifications

SME
• CMfgA
NIMS
• CNC Lathe Operations
• CNC Milling Operations
• CNC Milling Programming, Setup, & Operation
• CNC Milling: Operations-FastTrack
• CNC Milling: Programming, Setup, and Operations-FastTrack
• CNC Turning Programming, Setup, & Operation
• CNC Turning: Operations-FastTrack
• CNC Turning: Programming, Setup, and Operations-FastTrack
• Drill Press I
• Drill Press Skills-FastTrack
• Grinding I
• Grinding Skills-FastTrack
• Job Planning, Benchwork, & Layout I
• Job Planning, Benchwork, and Layout-FastTrack
• Manual Milling Skills-FastTrack
• Measurement, Materials, & Safety I
• Measurement, Materials, and Safety-FastTrack
• Milling I
• Turning Operations: Turning Between Centers-FastTrack
• Turning Operations: Turning Chucking Skills
• Turning Operations: Turning Chucking Skills-FastTrack
MSSC
• MSSC Fast Track Quality

## Glossary

Vocabulary Term Definition
borrow To take an amount from the whole number in a mixed number and add it to the fraction. Borrowing changes the way the number is expressed but does not change its value.
common factor A factor that is shared by two or more numbers. For example, 4 is a common factor of 8 and 12 because 4 divides 8 and 12 evenly (8/4=2, 12/4=3).
decimal A type of fraction in which the denominator is always a power of ten and the numerator is indicated by values placed to the right of a decimal point. Decimals include 2.7, 0.41, and so on.
decimal point The period between whole numbers and decimals. The higher the number of places to the right of the decimal point, the smaller the decimal’s value.
denominator The number on the bottom of a fraction. The denominator expresses the quantity of total parts into which the whole number has been divided.
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.
factor A number that evenly divides another number. For example, 3 is a factor of 12 because 12 can be divided by 3 with no remainder (12/3=4).
fraction A number that indicates parts of a whole number. Fractions appear as one number over the other with a slash or horizontal line between them.
greatest common factor The highest number that can evenly divide into two numbers. Finding the greatest common factor of the numerator and the denominator is the first step to reducing a fraction.
improper fraction A fraction in which the numerator is larger than the denominator. Improper fractions equal amounts greater than one.
invert To switch the locations of the numerator and denominator. Invert the second fraction when dividing with fractions, and then multiply.
lowest common denominator The smallest possible denominator that can be shared by two fractions. The lowest common denominator is used when adding or subtracting fractions with different denominators.
lowest common denominator The smallest possible denominator that can be shared by two fractions. The lowest common denominator is useful when adding or subtracting fractions with different denominators.
mixed number A whole number combined with a fraction. Mixed numbers can be converted to improper fractions, and improper fractions can be converted to mixed numbers.
numerator The number on the top of a fraction. The numerator indicates the number of parts of the whole.
operation A mathematical action or process such as addition or subtraction. A mathematical equation can consist of multiple operations.
percentages A number that indicates part of a whole. Percentages are fractions in which the denominator is 100.
place value The numerical value of a digit, based on its position in the number. Place value is expressed in groups of ten.
precision The dispersion of measurements or fineness of readings. More decimals in measurements indicate a need for higher precision.
proportional Having a constant amount in relation to another quantity. For two numbers to be proportional, as one number increases, the other should increase by an equal factor.
remainder When dividing one number into another, any left over amount that does not divide into the numerator. When converting improper fractions, remainders become the numerator of the fraction in the mixed number.
rounding A method used to shorten numbers. Rounding involves either increasing or decreasing a number to the next digit.
whole number Any number that has not been divided into fractions or decimals. Whole numbers include 1, 2, 3, 10, 15, 23, and so on.