Dividing Fractions? Quick Trick!

-

 Solving Fraction Division Problems

 The Butterfly Method   

¾ ÷ ⅚ = 9⁄10   

How?  

Cross Multiply!

1.  3 x 6 = 18                        

2.  4 x 5 = 20                        

3. Simplify 18/20 = 9/10 

Comments

Post a Comment

Popular posts from this blog

An Annoying but Surprisingly Logical Game

-
FOUR IS COSMOS! What does that mean?  Well, the game goes like this: Person A says any number to "any" other number. (Like 18 to 8) Person B tries guessing the pattern, and also doing what Person A did. For example, Person A could say: 19 to 8 8 to 5 5 to 4 4 is COSMOS! That sounds like utter nonsense, right?  It actually makes perfect sense. Look at how many letters these numbers have. 19 has 8 letters in its name (N-I-N-E-T-E-E-N) 8 has 5 letters in its name (E-I-G-H-T) 5 has 4 letters in its name (F-I-V-E) 4 has 4 letters in its name, they're the same number which is why it's COSMOS! HAVE FUN PLAYING THIS GAME!
Read more

How to Deal with Exponential Functions

-
GENERAL EXPONENTIAL FUNCTIONS: These are used to show the growth/decay of a value over time using exponents and the initial value.  Formula:  f(x) = a ⋅ bˣ    a = the value you start with x = amount of time b = the growth/decay factor EXPONENTIAL GROWTH: In here, b will ALWAYS be GREATER than 0.   Key words on identifying exponential growth problems: Tripled ==> b = 3 Doubled ==> b = 2 Example Problem: Minnie Mouse had  70  bows. Over the course of 4 years, the amount of bows kept tripling  each year. How much does she have now?  As you can probably see, I have put key words/numbers in bold.  a = 70 (starting amount) x = 4 (amount of years) b = 3 (growth factor) Now just set up the formula! f(x) = 70 ⋅ 3⁴ 3⁴ = 81  70 ⋅ 81 = 5,670 In total, Minnie Mouse has 5,670 bows now.  EXPONENTIAL DECAY:   In here, b will ALWAYS be BETWEEN 0 and 1. Key words on identifying exponential decay problems: Halv...
Read more

Mixture and Motion Problems: Charts Strategy

-
Image
Why are these two very different things grouped together? That's because they both use the same style charts as one of the most effective strategies.  MIXTURE PROBLEMS: Y ou have to create a chart that has THREE columns and rows. Top Row: Prices/Percentages Middle Row:   Volumes: (x,  y and the total number) Bottom row: Multiply everything from the top and down, and put the result in the appropriate box. It sounds very confusing, which is why I will provide a drawing for the example problem right now. Example Problem: Apple Jack has wants to have a 34 gallon apple cider batch. Blend 1 has 3% pure apple juice, and Blend 2 has 58% pure apple juice. She wants her final batch to have 36% pure apple juice. How much should she use? Chart: IMPORTANT: "Equation 1" is just: x + y = 34 "Equation 2" is just: 0.03x + 0.58y = 12.24       Now solve for x and y using system of linear equations: 0.03x + 0.58y = 12.24  x + y = 34 ...Let's...
Read more