Introduction to Fraction Busting Lesson 2 2 3

Introduction to Fraction Busting Lesson 2. 2. 3

Admit it…

Sometimes in life an “ESTIMATE” is just not good enough. Fractions and decimals give us a way of measuring things to an “EXACT”!

Elva Lance A marching band has 6. 5 minutes to perform at a football game during halftime. If they go over 6. 5 minutes their team could be penalized! “Famous Maroon Band”

Maybe your interested in finding out about the world’s smallest dog. Meet a cute little Chihuahua named Brandy! Br y d an 6. 1 inches nose to tail. Weight 2 pounds

World’s tallest dog… Zenus The Great Dane

This has nothing to do with decimals or fractions, but does anyone want to see this year’s UGLIEST dog winner? Are you sure you want to see this? Close your eyes if you want to. It’s pretty ugly…. 2015 1 st Place Winner

2011 UGLIEST dog winner was actually kind of cute. Let’s take a quick look before we get back to fractions and decimals. 2011 1 st Place Winner Meet…. YODA !

World’s longest jump belongs to this man, Mike Powell from the United States. He broke the record in the 1991 World Championship in Tokyo. Guess how far he jumped! 29 ft. 4¼ in.

Mt. Everest in China 29, 028. 75 feet If you want to the highest point on earth you have to know exactly how tall something is.

Seconds mattered back in 2005 when a Seattle rapper named Ricky Brown (aka “No Clue”) made the Guinness Book of Records by rapping 723 syllables in 51. 27 seconds in front of a licensed speech therapist. This works out to be an ear-hurting 14. 1 syllables per second ! This beat out 7 year record holder Rebel XD who only belted out 12. 5 syllables per second. Ricky Brown aka “No Clue”

Prior… �In the last lesson, you were introduced to solving equations. �You learned that to solve an equation you: Distribute to remove any parentheses 2) Combine the like terms 3) Move the variables to one side and the constants to the other 4) Solve the simplified equation 1) Steps 1 and 2 are not always necessary!

Today… �

Section 1: Equations with Fractions Section 2: Equations with Decimals

Fraction Busting � Fractions in an equation can get very messy… especially the ones you will see in Algebra 1 and Algebra II. � That’s why it is very important that you learn a process called Fraction Busting. You are going to need this skill for your upper level math classes. � A lot of people like to call the process “clearing the fraction” instead if fraction busting. � In this process, the fractions are eliminated first so that you are left with a simpler equation to solve…. One that does not have any fractions!

Steps Step 2: Multiply both sides of the equation by the LCD. Step 1: Look at all of the denominators in the equation and find the LCD. The LCM is the smallest number that both 2 and 5 divide into evenly.

Distribute and Simplify Click to Watch this Demo ! It’s in slow motion… 5 2 Your new equation without fractions! If your fractions don’t completely cancel out… Then you did something

Solve the resulting equation like normal. Click to Watch Demo. 5 x + 6 = 30

Guided Practice #1 Step 1: Look at all of the denominators in the equation and find the LCD. Step 2: Multiply both sides of the equation by the LCD.

You Try #1 Step 1: � Look at all of the denominators in the equation and find the LCD. Step 2: Multiply both sides of the equation by the LCD.

Guided Practice #2 Step 1: Look at all of the denominators in the equation and find the LCD. Step 2: Multiply both sides of the equation by the LCD.

You Try #2 Step 1: Look at all of the denominators in the equation and find the LCD. Step 2: Multiply both sides of the equation by the LCD.

Guided Practice #3 Step 1: Look at all of the denominators in the equation and find the LCD. Step 2: Multiply both sides of the equation by the LCD.

You Try #3 Step 1: Look at all of the denominators in the equation and find the LCD. Step 2: Multiply both sides of the equation by the LCD.

Guided Practice #4 Step 1: Look at all of the denominators in the equation and find the LCD. Step 2: Multiply both sides of the equation by the LCD.

You Try #4 Step 1: Look at all of the denominators in the equation and find the LCD. Step 2: Multiply both sides of the equation by the LCD.

Section 1: Equations with Fractions Section 2: Equations with Decimals

Decimal Busting - Review Step 1: Step 2: Look for the decimal with the most digits. Multiply both sides of the equation by that power of 10. � Multiply both sides by 1000

Example Here is a problem that I found on the internet where the person cleared their decimals first. Decimal with the most digits. New equation without decimals!

Guided Practice #5 Step 1: Step 2: Look for the decimal with the most digits. Multiply both sides of the equation by that power of 10.

You Try #5 Step 1: Step 2: Look for the decimal with the most digits. Multiply both sides of the equation by that power of 10.

finally Closer Let’s close today by recapping the new procedures that we learned today… I k n i h t I t i t o g !!!

Clearing Fractions Step 2: Multiply both sides of the equation by the LCD. Step 1: Look at all of the denominators in the equation and find the LCD. The LCM is the smallest number that both 2 and 5 divide into evenly.

Watch the Recap 5 2 If your fractions don’t completely cancel out… Then you did something

Clearing Decimals Step 1: Step 2: Look for the decimal with the most digits. Multiply both sides of the equation by that power of 10. � Multiply both sides by 1000

Watch the Recap Decimal with the most digits. New equation without decimals!