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

Answers

Answer 1

Answer: 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––––––

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Last week the cost of a tank of gas increased by $1.64 express this increase as a mixed number in simplest form
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How to do these problems
NEED HELP FAST PLEASE.

Which exponential function goes through the points (1,8) and (4,64)?A) f(x)=4(2)^x

B) f(x)=2(4)^x

C) f(x)=4(2)^-x

D) f(x)=2(4)-x

Answers

Plug in (4,64) into each answer choice.

A) 4(2)^x
64 =4(2)^4
64 = 4(16)
64 = 64

Answer choice A is correct.

B) f(x) = 2(4)^x
64 = 2(4)^4
64 = 2(256)
64 ≠ 512

Answer choice B is incorrect.

C) f(x) = 4(2)^{-x}
64 = 4(2)^{-4}
64 = 4(-0.0625)
64 ≠ 0.25

Answer choice C is incorrect.

D) f(x) = 2(4)^{-x}
64 = 2(4)^{-4}
64 = 2(0.00390625)
64 ≠ 0.0078125

Answer choice D is incorrect.

Your answer is B) f(x)=2(4)^x

A telephone pole casts a shadow 30 feetlong while a nearby fence post 4 feet
high casts a shadow 3 feet long. How
high is the pole?

Answers

Answer:

The height of the pole is 40 feet.

Step-by-step explanation:

Answer:

Step-by-step explanation:

37.5 feet

A square has sides of length s. A rectangle is 6 inches shorter than the square and one inch longer. What expression represents the perimeter of the rectangle?

Answers

Answer:

4s - 10

Step-by-step explanation:

just trust me im correct

Answer:

778

Step-by-step explanation:

200 songs, 24 are country. what percentage are country songs?

Answers

24/200=0.12 or 12% are country songs

Write each pair of fractions as a pair of fractions with a common denominator 3/4 and 7/8

Answers

3/4

3*2 = 6
4*2 = 8

6/8 and 7/8

Luca shows his work in finding the solution to 2 - 6x = 5 - 5(x - 1) . After checking his answer in the original equation, he found that it didn't work. where did he make a mistake?