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## Equivalent Fractions

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**1. **Equivalent Fractions Equivalent Fractions have the same value, even though they may look different.
Why are they the same? Because when you multiply or divide both the top and bottom by the same number, the fraction keeps it's value.

**2. **Simplifying Fractions To simplify a fraction, divide the top and bottom by the highest number thatcan divide into both numbers exactly.
Simplifying (or reducing) fractions means to make the fraction as simple as possible.

**3. **Least Common Denominator (LCD) ..is the LEAST COMMON MULTIPLE of denominators
LCM is The smallest (non-zero) number that is a multiple of two or more numbers.

**4. **Adding Fractions There are 3 Simple Steps to add fractions:
Step 1: Make sure the bottom numbers (the denominators) are the same Step 2: Add the top numbers (the numerators). Put the answer over the same denominator as in step 1 Step 3: Simplify the fraction(if needed).

**5. **Subtracting Fractions There are 3 simple steps to subtract fractions
Step 1. Make sure the bottom numbers (the denominators) are the same
Step 2. Subtract the top numbers (the numerators). Put the answer over the the same denominator as in step 1
Step 3. Simplify the fraction.

**6. **Types of Fractions Proper Fractions
Improper Fractions
Mixed Numbers

**7. **Proper Fractions A Proper Fraction has anumerator (top number) less than itsdenominator (bottom number)

**8. **Improper Fraction An Improper fraction has a numerator (top number) larger than or equal tothe denominator (bottom number)

**9. **Mixed Numbers A Mixed Fraction is awhole number and a fraction combined

**10. **Changing Improper to Mixed Fractions Numerator denominator

**11. **Changing Mixed to Improper Fractions Whole number numerator
denominator

**12. **Adding Mixed Numbers

**13. **Subtracting Fractions (borrowing) Make the first numerator larger than the second if it is not.
Subtract the second numerator from the first
Place that difference over the common denominator.
Subtract the integer portions of the two mixed numbers
State the answer

**14. **Fractions to Decimals 3/10 0.3
tenths

**15. **Fractions to Decimals When you cant set to an equivalent fraction with denominator of 10, 100, or 1000you divide
ND = D N
Kick it to the side,and divide!

**16. **Decimals to Fractions Given the decimal
Anything BEFORE the decimal (to the LEFT of the decimal) is the whole number of a mixed fraction
Take the ENTIRE number AFTER the decimal and place as NUMERATOR over the last digit place value (DENOMINATOR) Convert 0.16 into a fraction.
First we place the number 16 which is on the right of the decimal point in the numerator.
The decimal place found in this decimal is two. So we deduce that the denominator is 100th place and write 100 in the denominator.
As such, we can say that 0.16 is the same as 16/100.
After simplifying, we obtain the answer 4/25.