Math: Chapter 6 Study Guide

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Math: Chapter 6 Study Guide The test will be in two parts:

Friday, January 24th (Equivalent Fractions and Simplest Form) and

Monday, January 27th (Common Denominators, Compare and Order Fractions)

Generate Equivalent Fractions Objective: Use multiplication to generate equivalent fractions. Follow the steps below to write an equivalent fraction: 1. Choose a whole number, like 2. 2. Create a fraction using 2 as the numerator and denominator; 2 2 3. Multiply the fractions. Example: Write an equivalent fraction for 4. 5 Multiply 4 by 2 ; 4 x 2 = 8 5 2 5 x 2 10 So, 4 and 8 are equivalent. 5 10

Equivalent Fractions In-class Examples/Notes Write two equivalent fractions. 1. 3= ___=___ 6

Simplest Form Objective: Write and identify equivalent fractions in simplest form.

Follow the steps below to write a fraction in simplest form: 1. List the FACTORS of the numerator. 2. List the FACTORS of the denominator. 3. Find the GCF (Greatest Common Factor). 4. Divide the numerator and denominator by the GCF.

Simplest Form In-class Example/Notes • Write the fraction in simplest form. 8 10

Common Denominators Objective: Use equivalent fractions to represent a pair of fractions as fractions with a common denominators.

• Follow the steps below to write a pair of fractions with common denominators. 1. Identify the denominators in the fractions. 2. List the MULTIPLES of the denominators. Circle the common multiples. 3. Rewrite the first fraction by using the least or a common multiple as the common denominator. 4. Rewrite the next fraction by using the least or a common multiple as the common denominator.

Common Denominator In-class Examples and Notes • Write each pair of fractions as a pair of fractions with a common denominator. 1 and 1 3 4

Compare Fractions <, >, = • Use our CROSS MULTIPLICATION tip… remember “TT” Top Totals.

Compare Fractions In-class Examples and Notes •

Compare. Write <, >, =

1 and 1 3 4

Compare and Order Fractions • 1. 2.

3. 4.

Follow the steps below to compare and order fractions: Identify a common denominator (list the multiples of the denominators). Use the common denominator to write equivalent fractions. Compare the numerators. Order the fractions from least to greatest, using < or > symbols.

Compare and Order Fractions In-class Examples and Notes • Write the fractions from least to greatest. 9, 1, 4 10 2 5