## Fraction Operations Review (All 4 skills in one)

#### Aligned To Common Core Standard:

**Grade 5 Fractions** - 5.NF.A.1

If you forgot how each of the operations are processed, check the bottom of this page to show you a walk through of each of the operations. The biggest challenge here is to remember when it matters is you are working with like or unlike fractions. When you are working with addition or subtraction problems the denominators need to be the same. If you have two unlike values, these operations will require you to convert the denominators to like forms. When you are working with multiplication and division, you can leave the denominator values alone because they do not affect the outcome of the solution at all. Use these worksheets and lessons to review how to add, subtract, multiply, and divide like or unlike fractions.

### Printable Worksheets And Lessons

- Addition Step-by-Step Lesson- In this fraction the denominators (bottom numbers) are same. So add the numerators (top numbers). Then write the addition value with the denominator which was same.
- Guided Lesson - We have you find a difference, quotient, and product. Fractions are all over the place!
- Guided Lesson Explanation - Each problem is different so the best thing to do is to sit back and ask yourself what they are looking for.
- Horizontal Worksheet 5 Pack -All the problems are setup in the format that you will see on most tests.
- Practice Worksheet - A nice set to work through and challenge yourself with. This covers all fraction operations.
- Matching Worksheet - Take your time and remind yourself the significance of each of the operations that they present you with.

#### Homework Sheets

All the shades of the basic fraction operations rainbow is here.

- Homework 1 - A quick and easy reminder for you.
- Homework 2 - What can you take away from this.
- Homework 3 - Criss cross these to solve them all.

#### Practice Worksheets

I like to tell students to determine the operation and then jot down how they should perform the operation. After that, go ahead and do it!

- Practice 1 - See how these all go for you.
- Practice 2 - If you had to choose two, which would you?
- Practice 3 - Divide out these guys.

#### Math Skill Quizzes

The denominators are all the same so that you can't cheat with identifying the process.

- Quiz 1 - Denominators are all flat.
- Quiz 2 - Another go at that level.
- Quiz 3 - See if you can make some mixed numbers.

### A Review of Fraction Operations (Add, Subtract, Multiply, Divide)

Applying the basic arithmetic operations including addition, subtraction, multiplication, and division, on whole numbers, integers, and real numbers are not challenging. However, the students begin to face difficulty when they have to apply these operations on fractions.
**Addition and Subtractions of Fractions** - There are two cases of fraction addition and subtractions: Case 1: Like Denominators -
When you need to add/subtract two fractions, and they have the same denominators, you simply add/subtract the numerator of the first fraction with that of the other, upon the same denominator.
Example: Add 1/2 and 5/2 | (1 + 5) / 2 = 6/2 = 3
Case 2: Unlike Denominators - When you need to add/subtract two fractions with unlike denominators, you take the LCM of the denominator and then add/subtract the fractions.
Example: Subtract 1/4 from 5/2 | (5 × 2) / (2 × 2) - 1/4 = (10-1) / 4 = 9/4
**Multiplication of Fractions** - Multiplying two fractions is easy and straightforward. You simplify the fractions and multiply the numerator of one with the numerator of the other and a denominator of one with the denominator of the second one.
Example: Multiply 1/4 and 3/4 | (1 × 3) / (4 × 4) = 3/16. Multiply 1/2 and 3/4 | 1/2 × 3/4 = (1×3) / (2×4) = 3/8
**Dividing Fractions** - When you have to multiply two fractions, you need to understand the concept of reciprocals. When you change division into multiplication, the fraction after the operation is reciprocated.
Example: Divide 1/2 ÷ 5/6 | If we change division into multiplication, we will have to reciprocate the fraction 5/6. The reciprocal of this fraction will be 6/5.
1/2×6/5 | 6/10=3/5.