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The butterfly method is making equivalent fractions, just not obviously.
However, the different is that in making equivalent fractions you have to choose the new denominator (ideally this should be the lowest common multiple (LCM) of the denominators to avoid big numbers, but it doesn't have to be), whereas with the butterfly method the new denominator is always the product of the original two denominators.
For example: what is 3/4 + 1/8?
Using LCM:
lcm(4, 8) = 8
→ 3/4 = (3x2)/(4x2) = 6/8 (as 4 goes into 8 two times, multiply top and bottom by 2)
→ 1/8 stays the same as it already has 8 in the denominator
→ 3/4 + 1/8 = 6/8 + 1/8 = (6+1)/8 = 7/8
Using product of the denominators:
4x8 = 32
→ 3/4 = (3x8)/(4x8) = 24/32 (as 4 goes into 32 eight times, multiply top and bottom by 8)
→ 1/8 = (1x4)/(8x4) = 4/32 (as 8 goes into 32 four times, multiply top and bottom by 4)
→ 3/4 + 1/8 = 24/32 + 4/32 = (24+4)/32 = 28/32 = (7x4)/(8x4) = 7/8
Using the butterfly method:
Left antenna: 3x8 = 24
Right antenna: 4x1 = 4
Body: 4x8 = 32
Calculation: (24+4)/8 = 28/32 = (7x4)/(8x4) = 7/8
Which you should notice is the same as the last part of the equivalent fractions method when the product of the denominators is used.
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What do you know about rational numbers and making them equivalent?
Rational numbers can be expressed as fractions and fractions can be equivalent as for example 3/4 has the same value as 9/12
Why do you multiply fractions?
If you want to make it equivalent you would have to multiply by the same # both so that's how you multiply it. (If you multiply it you have to be making it equivalent)
How do you know when two fractions are equal?
If the denominators (bottom numbers) are not equal, making equivalent fractions of them so that the denominators are equal. With the denominators equal if the numerators (top numbers) are equal, then the fractions are equal.
Why are two fractions converted into like fractions?
Because you can't add or subtract fractions that have different denominators. Making them like fractions, by multiplying so the denominators are the same, you can add and/or subtract them.
How the prefix un- help you remember the meaning of unlike fractions?
The prefix "un-" in unlike fractions indicates that the fractions are not the same or not similar. It helps to highlight that the fractions have different denominators, making them distinct from each other.
What year are webkinz making a monarch butterfly?
There are no plans on making a Webkinz Monarch Butterfly at the moment.
How does making a map of butterfly movements help you unerstand where they travel?
how does making a map of butterfly movements help you understand where they travel
How do you add mixed fractions with another mixed fraction?
You convert them both to improper fractions by multiplying the denominators by the whole number and then adding the numerator to it. This number goes in the numerator and the denominator stays the same. Then you do this for the other fraction, making sure that the denominators of each fraction are equivalent. Then add the fractions as normal.
How to explain making equivalent ratios?
Equivalent ratios are ratios that represent different numbers but the relationship between the numbers is same.
What are equivalent fractions for 12 over 26?
Equivalent fractions are fractions that represent the same value. To find equivalent fractions for 12/26, you can simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 2. This simplifies to 6/13. Other equivalent fractions for 12/26 include 24/52, 18/39, and so on, as long as you multiply or divide both the numerator and denominator by the same non-zero number.
What is the equivalent fraction of 2over5?
There are many equivalent fractions for 2/5, eg. 4/10, 10/25, 20/50. The rule for making an equivalent fraction is; 2/5 = 2x/5x, meaning just multiply the top and bottom by the same number.
how dose a insects go into a butterfly?
by making a cocoon
