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Schach [20]
4 years ago
15

Explain when you know you need to rename a mixed number to subtract

Mathematics
1 answer:
Lady_Fox [76]4 years ago
8 0
We have already learned about renaming fractions when we have two different denominators. To rename a fraction means that we are going to take the fractions and write an equivalent fraction that has a common denominator.

13=39

This is an example of renaming one-third to be three-ninths. The fractions are equivalent or equal, but the second fraction has a denominator of 9.

Sometimes when we subtract mixed numbers, we must rename the mixed numbers in a different way.

What does this mean? It means that when we are subtracting a mixed number from a whole number, we must rename to subtract correctly.

Let’s look at an example.

Example

6−456––––––––

In this example, we are trying to take a fraction from a whole number. We have to RENAME this whole number to do this.

How can we rename 6 to have a whole number part and a fraction part?

Think back. Remember when we learned that any fraction where the numerator and the denominator are the same that the fraction is equal to one?

1=44 or 33 or 55

Do you remember this? Well, if we can take one and rename it as a fraction, then we can use that to help us in our subtraction.

In the example above, we need to take 6 and make it a mixed number so that we can subtract. To do this, we borrow a one from the six and make it five. Then we take that one and make it into a fraction that has sixths as a denominator since that is the denominator of the fraction we are subtracting.

6=566

Next, we rewrite the problem.

Example

566−456–––––––– 116

This is our final answer..

Sometimes, we also have to rename a mixed number if the fraction we are subtracting is larger than the first fraction.

Example

619−349––––––
You might be interested in
Prove that any odd number can be written as the difference of two squares
Romashka [77]
One way is by intuition

lets list all the perfect squares
1
4
9
16
25
36
49
etc


if we list their differences, we notice a pattern
4-1=3
9-4=5
16-9=7
25-16=9
36-25=11
49-36=13
etc
we notice that the difference between 2 consecutive squares is always an odd number, also the odd numbers go up


before, I said that it was false because we can't get 1, but we can do 1²-0²=1

to get negatives, reverse it
-1=0²-1²

so we can see that we can get all the odd numbers





another way I saw in another answer by Syed514 in this question: brainly.com/question/2284978

anyway
so what syed did was

any odd number can be written as 2n-1 where n is an integer


odd=2n-1
odd=0+2n1
odd=n²-n²+2n-1
odd=n²-(n²-2n+1)
odd=n²-(n-1)²
we can now see that any odd number can be written as a difference of 2 squares
we also have shown that any odd number can be written as the difference of 2 consecutive square numbers
6 0
4 years ago
The probability distribution histogram shows the age distribution of giraffes at a zoo. What is P(8 *less than *x *less than or
liberstina [14]
There are four gray rectangles in the graph, showing 2 different probabilities.  Add together the areas of the two rectangles located on the right side:

0.35+0.05 = 0.40 (answer)
6 0
3 years ago
18 - 5 · 3 = ?<br><br> A: 3<br> B: 36<br> C: 39
NISA [10]

C 39

18-5=13 so that x 3 = 39

hope i helped :)

4 0
3 years ago
Read 2 more answers
alpha and beta are the zeros of the polynomial x^2 -(k +6)x +2(2k -1). Find the value of k if alpha + beta = 1/2 alpha beta(ITS
serious [3.7K]

Answer:

k=\frac{-11}{2}.

Step-by-step explanation:

We are given \alpha and \beta are zeros of the polynomial x^2-(k+6)x+2(2k-1).

We want to find the value of k if \alpha+\beta=\frac{1}{2}.

Lets use veita's formula.

By that formula we have the following equations:

\alpha+\beta=\frac{-(-(k+6))}{1}  (-b/a where the quadratic is ax^2+bx+c)

\alpha \cdot \beta=\frac{2(2k-1)}{1} (c/a)

Let's simplify those equations:

\alpha+\beta=k+6

\alpha \cdot \beta=4k-2

If \alpha+\beta=k+6 and \alpha+\beta=\frac{1}{2}, then k+6=\frac{1}{2}.

Let's solve this for k:

Subtract 6 on both sides:

k=\frac{1}{2}-6

Find a common denominator:

k=\frac{1}{2}-\frac{12}{2}

Simplify:

k=\frac{-11}{2}.

7 0
3 years ago
Solve pls brainliest
Maksim231197 [3]

Answer:

324 gallons, 3 fish a day

Step-by-step explanation:

54 x 6

24/8

6 0
2 years ago
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