Operations with Positive Fractions - MTE 1 at Piedmont Community College

Course Description

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 Credit
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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