1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Morgarella [4.7K]
3 years ago
13

Solve 10 over 8=n over 10

Mathematics
1 answer:
Vikki [24]3 years ago
6 0
10/8 = n/10

First, we need to simplify 10/8 into the lowest terms it can go down into. To do so, we need to find the greatest common factor (GCF) of both the numerator and denominator (10 and 8).

Factors of 10: 1, 2, 5, 10
Factors of 8: 1, 2, 4, 8

Looking at the listed factors above for our two numbers, we can see that the greatest common factor is 2. The GCF is 2.

Second, our next step for simplifying 10/8 down is to divide the numerator (10) and denominator (8) by our GCF we recently found which was 2.

10 \div 2 = 5 \\ 8 \div 2 = 4

We can now rewrite our fraction in the simplified form which is 5/4.

Third, our goal from the start is to get the variable (n) to one side of the problem by itself. This means we have to do everything else on the other side of the problem. We can start out by multiplying each side by 10.
\frac{5}{4} \times 10 = n

Fourth, we now need to simplify 5/4 times 10. To do this, we take the numerator and multiply it by 10. Since the numerator is 5, our problem should look like: 5 × 10. The answer is 50.
\frac{50}{4} = n

Fifth, since 50/4 can be simplified as well into lower terms. Let's do the same thing we did earlier when we simplified the earlier fraction. List the factors of the numerator (50) and denominator (4). 

Factors of 50: 1, 2, 5, 10, 25, 50
Factors of 4: 1, 2, 4

Out of the factors for both of the numbers, which are common? 1 and 2 are the common factors and 2 is the greatest, meaning that 2 is our GCF.

Sixth, like we did earlier as well, we now have to divide our numerator and denominator by our recently found GCF which is 2.

50 \div 2 = 25 \\ 4 \div 2 = 2

We now have our simplified fraction, which is also our answer. The simplified fraction is 25/2.

Answer in fraction form: \fbox {n = 25/2}
Answer in decimal form: \fbox {x = 12.5}
You might be interested in
Which is NOT true about a direct proportion?
madam [21]
The person at the top is correct.
8 0
3 years ago
What is the base area of a cylinder with a radius of 2
Alex17521 [72]

Answer:

(pi)4 or about 12.57 sq. units

Step-by-step explanation:

The base area of a cylinder is a circle.

Since we know that the radius is 2, we can use the equation A = (pi)r^2 to find the area.

So, using this formula, the area is (2)(2)(pi), about 12.57 sq. units (area is squared!)

4 0
3 years ago
Is that better for you guys please hurry
prohojiy [21]
The answer to the question

7 0
3 years ago
Can someone help wit this just find the value of x
Romashka-Z-Leto [24]
2x-2+x+5=90
3x+3=90
-3 -3
3x/3 =87/3
x=29
6 0
2 years ago
What answer choice is it?
Alinara [238K]

Answer:

I am pretty sure it is A

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • What is the radius?<br><br> PLEASE HELP
    14·1 answer
  • Jaime wants to know how fast she can type, so she times herself as she types a paper. The paper has 429 words in it, and Jaime t
    14·1 answer
  • Can someone help with my homework please
    11·1 answer
  • Which are names of points drawn in the figure?
    5·1 answer
  • Express as a fraction in simplest form: 60 to 12.​
    13·2 answers
  • Diagram I shows a triangle with a foot length of 4ycm and a height (y +5). Figure 2 shows a square with a length of y cm. Given
    10·1 answer
  • Please help me!!!!! I can’t figure this question out
    7·2 answers
  • Can you plz help me with #10
    7·1 answer
  • Find x, use pic for more info
    5·1 answer
  • Halp pls ok<br><br> x =x=x, equals <br> ^\circ <br> ∘
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!