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The Fraction Bar Groups

Part of the Numbers & Operations section of Coddy's Pre-Algebra journey. Lesson 5 of 57.

Type $\frac{12+6}{5-2}$ into a calculator as 12 + 6 ÷ 5 - 2. It says 11.2, but the answer is 6. The calculator divided only the 6 by 5.

A fraction bar means divide. The answer of a division is called the quotient.

The bar also groups. Everything on top counts as one number. Everything below counts as one number.

So work out the top: $12+6$ is 18. Work out the bottom: $5-2$ is 3. Then divide: $\frac{18}{3}$ is 6.

On a calculator, put brackets around the top and around the bottom.

Challenge

Work out $\frac{36+24}{17-5}$ .

Try it yourself

\frac{36+24}{17-5}

Simplify

All lessons in Numbers & Operations

1Order of Operations

Your First Answer Left to Right Parentheses First Brackets Inside BracketsThe Fraction Bar GroupsRecap: Order of Operations

4Adding Integers

Adding Two Negatives Different Signs Zero Pairs Adding Several Integers Recap: Adding Integers

7Exponents

Repeated Multiplication Squares and Cubes Powers of Ten Negative Bases Where the Minus Sits Recap: Exponents

10Numbers in Stories

Temperature Changes Money Owed Up and Down Equal Shares Recap: Number Stories

2Mental Math

Friendly Pairs Take Away the Total Recap: Mental Math

5Subtracting Integers

Add the Opposite Subtracting a Negative Plus and Minus in a Row Distance Between Numbers Recap: Subtracting Integers

8Square Roots

Perfect Squares Undoing a Square Roots in Expressions The Root Sign Groups Between Two Whole Numbers Recap: Square Roots

11Final Challenges

Final: Every Rule at Once Final: Roots and Powers Final: The Freezer Final: Over the Bar Final: On the Line

3Negative Numbers

Below Zero Opposites Greater or Less Absolute Value Recap: The Number Line

6Multiplying and Dividing

Negative Times Positive Two Negatives Counting the Negatives Dividing Integers Zero in Division Recap: Multiply and Divide

9Putting It All Together

Powers Before Products Negatives Inside Negative Bases in Sums Everything at Once Recap: The Full Order