# Let's Be Rational

### Midterm Study Guide Review

## Unit Description

*Let’s Be Rational*is to develop meaning for and skill with computations involving fractions. Students should know, understand, and fluently use algorithms for computing fractions with all four operations. Students will be able to decide which operation is appropriate in a given situation. In addition, students will be able to use number sense, benchmarks, and operation sense to estimate solutions to situations as well as using estimation to decide if exact answers are reasonable.

## Adding with Common Denominators

2. Keep the same denominator

3. Simplify!

## Adding with Uncommon Denominators

2. Create equivalent fractions

3. Add the numerators

4. Keep the same denominator

5. Simplify!

## Adding Mixed Numbers

2. Create equivalent fractions

3. Add the whole numbers

4. Add the fractions

5. Simplify!

## Subtracting with Common Denominators

2. Keep the same denominator

3. Simplify!

## Subtracting with Uncommon Denominators

2. Create equivalent fractions

3. Subtract the numerators

4. Keep the same denominator

5. Simplify!

## Subtracting Mixed Numbers

2. Subtract the numerators

3. Keep the same denominator

4. Simplify!

## Multiplying with Any Denominator

2. Simplify!

**Note: **When multiplying mixed numbers, you MUST **change the mixed number **to an **improper fraction** and then multiply straight across.

## Dividing with Any Denominator

2. Change it! (Change multiplication sign to division sign)

3. Flip it! (Flip the second fraction)

4. Multiply straight across

5. Simplify!

When dividing whole numbers, you MUST **change the whole number **to an **improper fraction** by putting one in the denominator.

## What are improper fractions?

**Improper fractions**a fraction with a larger number in the numerator and a smaller number in the denominator. These fractions are "top heavy."

## What are mixed numbers?

**Mixed numbers**are whole numbers and fractions that make one number.