- 1 How does the butterfly method work in math?
- 2 Why does the butterfly method work when comparing fractions?
- 3 What is the Butterfly Effect in psychology?
- 4 What is a mixed number?
- 5 How do you find the LCD?
- 6 How do we multiply fractions?
- 7 How do you compare fractions with different denominators?
- 8 How do you add fractions with different denominators?
- 9 How do you simplify fractions?
- 10 Why does cross multiplying work when comparing fractions?
- 11 Why do we compare fractions?
How does the butterfly method work in math?
The butterfly method in fractions and the danger of overemphasizing tricks
- First, you multiply the numerators and denominators diagonally and add – that becomes your new numerator.
- Then, you multiply the denominators – that becomes your new denominator.
Why does the butterfly method work when comparing fractions?
I have my kids draw a butterfly shape with the fractions. This just helps them keep their numbers straight when they cross multiply. We are finding equivalent fractions with like denominators. When the denominators are the same, you compare the numerators.
What is the Butterfly Effect in psychology?
the tendency of a complex, dynamic system to be sensitive to initial conditions, so that over time a small cause may have large, unpredictable effects (see sensitive dependence).
What is a mixed number?
What is a mixed number? A mixed number is a number consisting of a whole number and a proper fraction.
How do you find the LCD?
Find the least common denominator ( LCD ) of two fractions
- Factor each denominator into its primes.
- List the primes, matching primes in columns when possible.
- Bring down the columns.
- Multiply the factors. The product is the LCM of the denominators.
- The LCM of the denominators is the LCD of the fractions.
How do we multiply fractions?
The first step when multiplying fractions is to multiply the two numerators. The second step is to multiply the two denominators. Finally, simplify the new fractions. The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.
How do you compare fractions with different denominators?
If the denominators are different, you can find a common denominator first and then compare the numerators. Two fractions are equivalent fractions when they represent the same part of a whole.
How do you add fractions with different denominators?
If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator. To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator. Then add and simplify.
How do you simplify fractions?
You can simplify a fraction if the numerator (top number) and denominator (bottom number) can both be divided by the same number. Six twelfths can be simplified to one half, or 1 over 2 because both numbers are divisible by 6. 6 goes into 6 once and 6 goes into 12 twice.
Why does cross multiplying work when comparing fractions?
The reason we cross multiply fractions is to compare them. Cross multiplying fractions tells us if two fractions are equal or which one is greater. This is especially useful when you are working with larger fractions that you aren’t sure how to reduce. Let’s take a look at some numerical examples.
Why do we compare fractions?
Using representations to compare fractions help students develop their number sense about fraction size. This awareness helps them to understand the strategies they use to compare whole numbers do not necessarily compare to fractions (1/2 is greater than 1/6 even though the whole number 6 is greater than 2).