## MTE 1 - Operations with Positive Fractions at Germanna 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.

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