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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
- Additional Language:
- Spanish, Chinese
- Related 2.0 Class:
- Math: Fractions and Decimals 111

## 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

## 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.

## Job Roles

- Assembler
- Assembly Mechanic
- Fundamentals
- Master Mechanic
- Painter
- Autoclave Technician
- Automated Fiber Placement / Automated Tape Layup
- Composite Fundamentals
- Composite Repair Technician
- Composites Cutter and Kitting
- Filament Winding Operator
- Hot Press / Compression Mold Operator
- Infusion Operator
- Manual Layup Technician
- Manual Sprayup Technician
- Pultrusion Operator
- Trim, Drill and Finishing Technician
- Die Maker
- Electron Beam Welding Operator
- Fundamentals
- Hydroforming Operator
- Laser Cutter Operator
- Laser Welding Operator
- Lead Press Operator/Setup
- Press Brake Operator
- Roll Forming Operator
- Stamping Press Operator
- Tube/Bar Bending Operator
- Waterjet Operator
- CNC Programmer
- Grinding Technician
- Lathe Operator
- Machining Fundamentals
- Mill Operator
- Production Grinder
- Production Machinist
- Quality Technician
- Toolmaker / Diemaker
- Waterjet Operator
- Wire EDM Operator
- Automation (Motion Control, Robotics) Technician
- Electrical Maintenance : Production
- Electrical Maintenance Technician
- Fluid Systems Technician
- Maintenance Fundamentals
- Mechanical Maintenance : Production
- Mechanical Maintenance Technician
- Blow Mold Material Handler
- Blow Mold Operator
- Blow Mold Setup Person
- Blow Mold Technician
- Compression Mold Material Handler
- Compression Mold Operator
- Compression Mold Setup Person
- Compression Mold Technician
- Extrusion Material Handler
- Extrusion Operator
- Extrusion Setup Person
- Extrusion Technician
- Fundamentals
- Injection Mold Material Handler
- Injection Mold Operator
- Injection Mold Setup Person
- Mold Maker

## Certifications

NIMS- CNC Lathe Operations
- CNC Milling Operations
- Drill Press I
- Measurement, Materials, & Safety I
- Metalforming I

- 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. |