## MTE 1 - Operations with Positive Fractions at Lord Fairfax Community College

### Course Description

Effective: 2012-01-01

Includes operations and problem solving with proper fractions, improper fractions, and mixed numbers without the use of a calculator. Emphasizes applications and includes U. S. customary units of measure. Credit is not applicable toward graduation.

Lecture 1 hour per week.

1 credits

### General Course Purpose

The purpose of this course is to develop competency in operations and problem solving with positive fractions necessary to succeed in 100-level math courses.

### Course Prerequisites/Corequisites

Prerequisite: Qualifying placement score

### Course Objectives

- Write, simply and compare fractions.
- Express parts of a whole using fraction notation.
- Convert between improper fractions and mixed numbers.
- Express repeated factors using exponents.
- Find the prime factorization of a given number.
- Write fractions in simplest form.
- Compare two quantities in the form of a ratio or rate in simplest form.
- Find the least common multiple (LCM) of two or more whole numbers.
- Find the least common denominator (LCD) of two or more fractions.
- Determine the relationship (<, >, =) between two fractions with unlike denominators.
- Perform operations with fractions.
- Add and subtract fractions and mixed numbers with like denominators.
- Add and subtract fractions and mixed numbers with unlike denominators.
- Multiply fractions and mixed numbers.
- Divide fractions and mixed numbers.
- Simplify expressions involving fractions using order of operation.
- Solve application using U.S. customary units of measurement.

### Major Topics to be Included

- Write, simplify, and compare fractions.
- Perform operations with fractions.
- Solve applications using U.S. customary units of measurement.