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Adding/Subtracting Fractions

The Hook

You need a common ground.

What is it?

Combining fractions requires matching denominators.

Time Travel (History)

Without a common denominator, you're adding apples to oranges.

Cheat Code

Butterfly method or LCD (Lowest Common Denominator).

Practice This Now!

The Field Guide

In Plain English: You cannot add slices of pizza if they are cut into different sizes. You have to cut them so they match sizes first. You can't add 'Thirds' to 'Fourths' until they both become 'Twelfths'.

In The Real World: Time management. You work 1/2 an hour, then 1/4 of an hour. Total time worked?

Booby Trap!

Adding the denominators! 1/2 + 1/2 is NOT 2/4. It is 2/2 (1 Whole).

Real World Challenge
"You run 1/2 mile in the morning and 1/3 mile at night. Total distance?"
The Logic: Common denominator is 6. 1/2 = 3/6. 1/3 = 2/6. Total: 5/6 miles.

Training Drills

Butterfly
1 1 (3x1) + (2x1) 5 - + - = ------------- = - 2 3 (2x3) 6
Cross multiply tops, multiply bottoms.