All categories

3 years ago

Perform the following division:

1 answer:

7 0

Hey!

Alright, the first step to solving this division problem would be to convert the mixed fraction into a simple fraction. To do that, we'll multiply the denominator by the whole number and then add that total to the numerator.

Original Fraction :
$3 \frac{3}{4}$

New Fraction {Changed by Conversion} :
$\frac{15}{4}$

Now that we've successfully done that we'll have to change the equation.

Old Equation :
$\frac{15}{4}$ ÷ $\frac{2}{8}$ = ?

New Equation {Changed by Flipping the Second Fraction and the Symbol} :
$\frac{15}{4}$ · $\frac{8}{2}$ = ?

Now we multiply straight across.

Old Equation :
$\frac{15}{4}$ · $\frac{8}{2}$ = ?

Solved :
$\frac{120}{8}$

Almost done!
Now we have to simplify the fraction.

Old Fraction :
$\frac{120}{8}$

New Fraction {Changed by Simplification} :
$\frac{15}{1}$

Now just convert it to a whole number by removing the fraction line and the number, and that's it!

So, $3 \frac{3}{4}$ ÷ $\frac{2}{8}$ equals 15.

Hope this helps!

- Lindsey Frazier ♥

You might be interested in

How many 4 digit numbers consisting of only the digits 2,4,6 and 8 are divisible by 4

Blababa [14]

Answer:

digits used once: 12
repeated digits: 128

Step-by-step explanation:

In order for a number to be divisible by 4, its last two digits must be divisible by 4. This will be the case if either of these conditions holds:

the ones digit is an even multiple of 2, and the tens digit is even
the ones digit is an odd multiple of 2, and the tens digit is odd.

We must count the ways these conditions can be met with the given digits.

Since we only have even numbers to work with, the ones digit must be an even multiple of 2: 4 or 8. (The tens digit cannot be odd.) The digits 4 and 8 comprise half of the available digits, so half of all possible numbers made from these digits will be divisible by 4.

<h3>digits used once</h3>

If the numbers must use each digit exactly once, there will be 4! = 24 of them. 24/2 = 12 of these 4-digit numbers will be divisible by 4.

<h3>repeated digits</h3>

Each of the four digits can have any of four values, so there will be 4^4 = 256 possible 4-digit numbers. Of these, 256/2 = 128 will be divisible by 4.

7 0

1 year ago

Read 2 more answers

What is the answer to 6 1/6 - 3 5/6 =

antoniya [11.8K]

6 1/6 - 3 5/6= 2 1/3
Hope this Helps:D
Have a great rest of a brainly day!

7 0

3 years ago

What is the answer to 8x10^6 + 5x10^9=

Lesechka [4]

Answer:

13x10^15

Step-by-step explanation:

8+5 = 13

6+9 = 15

3 0

3 years ago

Which is the solution to (8.5 x 103)(2 x 105) expressed in scientific notation?

kenny6666 [7]

We have been given an expression $(8.5\times 10^3)(2\times 10^5)$ . We are asked to find the solution to our given expression expressed as scientific notation.

Let us simplify our given expression.

Using exponent property $a^m\cdot a^n=a^{m+n}$ , we will get:

$8.5\times 2\times 10^3\times 10^5$

$17\times 10^{3+5}$

$17\times 10^{8}$

Now to write our answer in scientific notation, we need our 1st multiple between 1 and 10. So we will rewrite our expression as:

$1.7\times 10\times 10^{8}$

$1.7\times 10^{1+8}$

$1.7\times 10^{9}$

Therefore, our required solution would be $1.7\times 10^{9}$ .

8 0

3 years ago

Help! WHAT IS THE VALUE OF X, and can you show how you got it please?

miss Akunina [59]

See the picture attached with letters to better understand the problem

in the right triangle ABD
applying the Pythagoras theorem
8²=AD²+(x+4)²-----> AD²=64-(x+4)²------> equation 1

in the right triangle ADC
applying the Pythagoras theorem
12²=AD²+(2x+1)²-----> AD²=144-(2x+1)²------> equation 2

equate equation 1 and equation 2
64-(x+4)²=144-(2x+1)²-------> 64-[x²+8x+16]=144-[4x²+4x+1]
64-x²-8x-16=144-4x²-4x-1
4x²-x²-8x+4x=144-1-64+16
3x²-4x=95
3x²-4x-95=0

using a graph tool----> to resolve the second order equation
see the attached figure N 2
the solution is
x=6.33

the answer is
x=6.33 units

3 0

3 years ago