Operations with Fractions

By: Autumn

ADDITION AND SUBTRACTION

Explanation

Step 1: Find a common denominator. You can find a common denominator by either multiplying both denominators together or finding the least common multiple.


Step 2: Whatever you multiplied the denominator by to get the common denominator, you need to multiply the numerator by the same thing.


Step 3: Now, you simply subtract/add the numerators and keep the denominator the same.


Step 4: Last but not least, ALWAYS SIMPLIFY IF YOU CAN.

Example

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Adding and subtracting fractions

MULTIPLICATION

Explanation

Step 1: Multiply the numerators, multiply across.


Step 2: Multiply the denominators, multiply across.


Step 3: ALWAYS SIMPLIFY IF YOU CAN.

Example

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Multiplying Fractions

DIVIDING

Explanation

Step 1: Keep the first fraction in the equation the same. Then, change the division sign to a multiplication sign and flip the numbers in the other fraction.


Step 2: Multiply like usual. Multiply the numerators and the denominators.


Step 3: ALWAYS SIMPLIFY IF YOU CAN.

Example

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Flocabulary - Dividing Fractions - Keep, Change, Flip
Dividing fractions

Operations with Decimals

MULTIPLICATION

Explanation

Step 1: Line your decimals up.


Step 2: Act like the decimals aren't there and do your regular U.S. Algorithm and multiply.


Step 3: When you get your product, the decimals are back. Count the total decimal places and put that many decimal places in the product.

Example

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DIVISION

Explanation

Step 1: Move your decimal over to get a whole number. Whatever you do in your divisor, you have to do in the dividend.


Step 2: See if you can fit the divisor into the first number of the dividend. If not see if it will go into the first two numbers of the dividend.


Step 3: when you have found how many times,

Example

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ADDTION & SUBTRACTION

Explanation