Ask question

Ask question

All categories

4 years ago

12

What is -0.55555555555 as a fraction

2 answers:

Ilya [14]4 years ago

6 0

Answer:1 1/4

Step-by-step explanation:

Here's how to convert 0.555555555 to a fraction...

The decimal part of your number seems to have the repeating digit 5 in it.

Your original number to convert is 0.555556. Let's slide the decimal point in this number to the right 1 place(s) (the same number of digits in the number 5).

If we do this, we'll get a 5.555556 (slide the decimal in the 0.555556 right 1 places, you'll get 5.555556).

So what? Well now, we have two numbers with the same repeating decimal parts, 5.555556 and 0.555556.

Now let's just work a little algebra into all of this. Let's call your original number x. And in this case, x=0.555556. The number with the decimal point slid over can be called 10x, because 10x=5.555556

What if we subtracted these two equations (that is, subtract the items on the left of the equal sign

from the stuff on the right of the equal sign)?Here's how to convert 0.555555555 to a fraction...

The decimal part of your number seems to have the repeating digit 5 in it.

Your original number to convert is 0.555556. Let's slide the decimal point in this number to the right 1 place(s) (the same number of digits in the number 5).

If we do this, we'll get a 5.555556 (slide the decimal in the 0.555556 right 1 places, you'll get 5.555556).

So what? Well now, we have two numbers with the same repeating decimal parts, 5.555556 and 0.555556.

Now let's just work a little algebra into all of this. Let's call your original number x. And in this case, x=0.555556. The number with the decimal point slid over can be called 10x, because 10x=5.555556

What if we subtracted these two equations (that is, subtract the items on the left of the equal sign

from the stuff on the right of the equal sign)?Now here's the important result of doing all of this: Notice how all of the repeating decimal parts have subtracted away to zero! We are left with a nice, simple 5 on the right side of the equal sign.

Now, solving 9x=5 for x by dividing both sides of it by 9, we'll get that x=5/9. And this is your answer.

How is this your answer? Well remember that above, x was originally set equal to 0.555556 via x=0.555556, and now we have that x is also equal to 5/9, so that means 0.555556=5/9..and there's 0.555556 written as a fraction!

So your final answer is: 0.555556 can be written as the fraction

galina1969 [7]4 years ago

4 0

Answer: -55/99

Step-by-step explanation:

You might be interested in

Takyra has n nail polish colors. Samantha has 4 more than twice the number of nail polish colors. In terms of n,

Anuta_ua [19.1K]

Answer: 2n+4

Step-by-step explanation:

"(4 more than) <u>twice the number</u>" is 2x

"<u>4 more</u> (than twice the number)" is +4

Put them together: 2n + 4

8 0

3 years ago

The speed of a stream is 5 mph. A boat travels 50 miles upstream in the same time it takes to travel 100 miles downstream. What

anzhelika [568]

The speed of the boat in still water is 14 mph.

7 0

2 years ago

Write the values in the boxes that make the statement true

nikklg [1K]

Answer:

$\frac{5}{3}xz^8*9x^6y^0z^2 = 15x^7z^{10}$

Step-by-step explanation:

<u>Given</u>

$\frac{5}{3}xz^a*bx^cy^dz^2 = 15x^7z^{10}$

<u>Simplify</u>

$\frac{5}{3}b*x^{1+c}z^{a+2}y^d = 15x^7z^{10}y^0$

Compare left and right sides and

<u>Find b:</u>

<u /> $\frac{5}{3}$ b = 15 ⇒ b = 15*3/5 = 9

<u>Find c:</u>

1 + c = 7 ⇒ c = 7 - 1 = 6

<u>Find a:</u>

a + 2 = 10 ⇒ a = 10 - 2 = 8

<u>Find d:</u>

d = 0

<u>Solution is:</u>

$\frac{5}{3}xz^8*9x^6y^0z^2 = 15x^7z^{10}$

8 0

3 years ago

What is the value of x?

soldi70 [24.7K]

Answer:

$5\sqrt{3}$

Step-by-step explanation:

A triangle with angles of 30-60-90 will always have sides that measure in the following proportions:

The side opposite the 30* angle = a

The side opposite the 60* angle = $a\sqrt{3}$

The side opposite the 90* angle = 2a

(I used "a" here because your question uses "x" and I don't want to confuse things, but usually people use "x" rather than "a")

They gave us that the hypotenuse (the side opposite the 90* angle) is 10, from there we can figure out the other sides:

Since the side opposite 90* is 2a, and 2a = 10, divide 10 by 2 and you get a = 5.

Once we know what "a" is, we can fill in the rest:

30* = 5

60* = $5\sqrt{3}$

90* = 10

3 0

3 years ago

Verify a÷(b+c)not equal(a÷b)+a÷c for each of the following values of a, b and c

just olya [345]

Answer:

a) and b) satisfied the condition of the given equation.

Step-by-step explanation:

Given: $\frac{a}{(b + c)}$ ≠ $\frac{a}{b}$ + $\frac{a}{c}$

Then,

$\frac{a}{(b + c)}$ ≠ $\frac{(ac + ab)}{bc}$

a) For a = 21, b = 4 and c = -2, then we have;

$\frac{21}{(4 + (-2))}$ ≠ $\frac{(21*-2 + 21*4)}{4*-2}$

$\frac{21}{4 - 2}$ ≠ $\frac{(-42 + 84)}{-8}$

$\frac{21}{2}$ ≠ $\frac{42}{-8}$

$\frac{21}{2}$ ≠ $-\frac{21}{4}$

Therefore the condition of the given equation is satisfied.

b) For a = 1, b = 10 and c = 1, then we have:

$\frac{1}{(10 + 1)}$ ≠ $\frac{(1*1 + 1*10)}{10*1}$

$\frac{1}{11}$ ≠ $\frac{(1 + 10)}{10}$

$\frac{1}{11}$ ≠ $\frac{11}{10}$

Therefore the condition of the given equation is satisfied.

5 0

3 years ago