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**Addition And Subtraction Of Fractions**: At a Glance

- Topics At a Glance
- Different Types of Numbers
- Natural Numbers
- Whole Numbers
- Integers and Negative Numbers
- Integers and Absolute Value
- Rational Numbers
- Irrational Numbers
- Real Numbers and Imaginary Numbers
- Different Ways to Represent Numbers
- Fractions
- Equivalent Fractions
- Mixed Numbers
- Reducing Fractions
**Comparing Fractions**- Least Common Denominator
**Addition and Subtraction of Fractions**- Multiplication of Fractions
- Equivalent Fractions and Multiplication by 1
- Multiplication by Clever Form of 1
- Multiplicative Inverses
- Division of Fractions
- Multiplication and Division with Mixed Numbers
- Decimals
- Converting Fractions into Decimals
- Converting Decimals into Fractions
- Comparing Decimals
- Adding and Subtracting Decimals
- Multiplication and Division by Powers of 10
- Multiplying Decimals
- Dividing Decimals
- Infinite Decimals
- Percents
- Portion of the Whole
- Things to Do with Real Numbers
- Addition and Subtraction of Real Numbers
- Properties of Addition
- Subtraction
- Multiplication
- Division
- Long Division Remainder
- Exponents and Powers - Whole Numbers
- Properties of Exponents
- Prime Factorization
- Order of Operations
- Even and Odd Numbers
- Infinity
- Sequences
- is Irrational
- Counting Rational Numbers
- Counting Real Numbers?
- Counting Irrational Numbers
- In the Real World
- Decimals in Use
- How to Solve a Math Problem
- I Like Abstract Things: Summary

It's easy to add and subtract fractions when the pieces involved are the same size. Who doesn't like "easy"?

**Sample Problem**

"We have 1 piece out of 4 and add 1 more piece out of 4."

**Sample Problem **

"We have 3 pieces out of 5, take 1 away, and we're left with 2 pieces out of 5."

**Sample Problem**

"We have 3 pieces out of 5, try to take 4 away, are left owing 1 piece out of 5." Eh, put it on our tab.

If the pieces are different sizes, we use the same trick we used when comparing fractions. We find the LCD and then add them up the easy way.

**Sample Problem**

When mixed numbers are involved, we turn the mixed numbers back into fractions and carry on as normal. (Just act natural, and if anyone asks, deny everything.) Remember that mixed numbers are themselves simply abbreviations for addition.

**Sample Problem **

This will require one extra step, but we're up to the task. The LCD of these two fractions is 10, so now all we have to do is put the fractions over their LCD and then total 'em up:

.

If you want, you can now convert this back into a mixed number (8 1/10), but don't bother if you aren't asked to do so. You've got better things you can be doing with your time. Like painting rainbows on your fingernails.

Exercise 1

Solve .

Exercise 2

Solve .

Exercise 3

Solve .

Exercise 4

Solve .