All categories

3 years ago

How do you convert a terminating decimal into a fraction?

1 answer:

4 0

Write down the decimal divided by 1, like this: decimal. Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.). Lastly Simplify (or reduce) the fraction.

You might be interested in

Identify the zeros of the function f(x) = 2x^2 − 4x + 5 using the Quadratic Formula

Nostrana [21]

For this case we have that by definition, the roots, or also called zeros, of the quadratic function are those values of x for which the expression is 0.

Then, we must find the roots of:

$2x ^ 2-4x + 5 = 0$

Where:

$a = 2\\b = -4\\c = 5$

We have to: $x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}$

Substituting we have:

$x = \frac {- (- 4) \pm \sqrt {(- 4) ^ 2-4 (2) (5)}} {2 (2)}\\x = \frac {4 \pm \sqrt {16-40}} {4}\\x = \frac {4 \pm \sqrt {-24}} {4}$

By definition we have to:

$i ^ 2 = -1$

So:

$x = \frac {4 \pm \sqrt {24i ^ 2}} {4}\\x = \frac {4 \pm i \sqrt {24}} {4}\\x = \frac {4 \pm i \sqrt {2 ^ 2 * 6}} {4}\\x = \frac {4 \pm 2i \sqrt {6}} {4}\\x = \frac {2 \pm i \sqrt {6}} {2}$

Thus, we have two roots:

$x_ {1} = \frac {2 + i \sqrt {6}} {2}\\x_ {2} = \frac {2-i \sqrt {6}} {2}$

Answer:

$x_ {1} = \frac {2 + i \sqrt {6}} {2}\\x_ {2} = \frac {2-i \sqrt {6}} {2}$

3 0

4 years ago

What is 4 tens and 6 tenths as a decimal

Aleksandr [31]

Answer 4.6

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The sum of Rick's test score and 15is100.What was the Rick's score?

azamat

Yes, I can show you how to solve that problem.
Please watch carefully and try to follow me.
I'll go slowly, and you must stop me if I do
anything that's not clear to you.

You said that Rick + 15 = 100

Subtract 15 from each
side of the equation: Rick = 85

3 0

3 years ago

Read 2 more answers

What is the change from -9 to -1?.

jarptica [38.1K]

Answer:

Positive 8

Step-by-step explanation:

Since they're both negative numbers and it went from -9 to -1, you had to have added a positive number to get a lesser negative number. To put it simply, if you were to subtract 8 from 9, you'd get 1.

5 0

3 years ago

V+w=7 v+W=1 Find the rise over run

olya-2409 [2.1K]

You can honestly find it your self your probably failing your class

7 0

3 years ago

How do you convert a terminating decimal into a fraction?​

How do you convert a terminating decimal into a fraction?