Simplify Fractions

Simplifying a fraction means to reduce it to its smallest and simplest form. This is done by dividing the numerator and the denominator by their greatest common factor (GCF). The GCF is the largest number that divides evenly into both the numerator and the denominator.

Steps to Simplify Fractions:

Find the greatest common factor (GCF) of the numerator and the denominator.
Divide both the numerator and the denominator by the GCF.
The resulting fraction is the simplified form of the original fraction.

Example:

Simplify the fraction 12/18.

First, find the GCF of 12 and 18. The factors of 12 are 1, 2, 3, 4, 6, and 12. The factors of 18 are 1, 2, 3, 6, 9, and 18. The GCF is 6.

Divide both the numerator and the denominator by 6: 12 ÷ 6 = 2, 18 ÷ 6 = 3

So, 12/18 simplifies to 2/3.

Study Guide:

To simplify fractions, follow these steps:

Identify the numerator and the denominator of the fraction.
Find the factors of the numerator and the denominator.
Determine the greatest common factor (GCF) of the numerator and the denominator.
Divide both the numerator and the denominator by the GCF to obtain the simplified fraction.

Practice simplifying fractions with different examples to reinforce your understanding of the concept.

◂Math Worksheets and Study Guides Sixth Grade. Simplify Fractions

Create And Print more Fractions worksheets with Simplifying Fractions

The resources above cover the following skills:

NUMBER SENSE

Know commonly used fractions (halves, thirds, fourths, fifths, eighths, tenths) and their decimal and percent equivalents. Convert between any two representations (fractions, decimals, percents) of positive rational numbers without the use of a calculator.