All categories

3 years ago

2.314 (14 repeating) as a fraction

Mathematics

2 answers:

katen-ka-za [31]3 years ago

5 0

Step-by-step explanation:

2.3141414...

= 2 + 3/10 + 14/990

= 2 + 311/990

= 2291 / 990

zvonat [6]3 years ago

4 0

Answer:

Therefore, x = $\frac{2291}{990}$ .

Step-by-step explanation:

Given : 2.314 (14 repeating) .

To find : Express as a fraction .

Solution : We have given 2.314 (14 repeating) .

Let x = 2.31414141.......

On multiplying both sides by 100

100x = 100 * 2.31414141....

100x = 231.414141......

We can express 231.414141...... in term of x .

100x = 229 .1 + 2.31414141.......

100x = 229.1 +x

On subtracting both sides by x .

100 x -x = 229 .1

99x = 229.1

On dividing both sides by 99

x= $\frac{229.1}{99}$ .

x = $\frac{2291}{990}$ .

Therefore, x = $\frac{2291}{990}$ .

You might be interested in

Which of the following values are in the range of the function shown below?

Andrews [41]

I think the answers are 2,1,0

6 0

3 years ago

PLEASE HELP ME!!!!! Factor completely b^4 − b^3 + b − 1

Afina-wow [57]

b^4 − b^3 + b − 1
=(b^4 − b^3) + (b − 1)
= b^3(b - 1) + (b - 1)
=(b - 1)(b^3 + 1)

7 0

4 years ago

Solve (x +9)2 = 25.

alexandr1967 [171]

Answer:

$x = - 4 \: or \: x = - 14$

Step-by-step explanation:

We have been given the equation

$(x + 9) {}^{2} = 25$

and we are asked to apply the square root property of equality to our given a equation and isolate the variable

First, take the square root of both sides of our equation

$\sqrt{(x + 9) {}^{2} } = \sqrt{25}$

$x + 9 = \: 15$

$x + 9 = 5 \: or \: x + 9 = - 5$

$x + 9 - 9 = 5 - 9 \: or \: x + 9 - 9 = - 5 - 9$

$x = - 4 \: or \: x = - 14$

THEREFORE, THERE ARE TWO SOLUTIONS FOR OUR GIVEN EQUATION

$x + 9 = 5 \: then \: x = - 4. \\ x + 9 = - 5 \: then \: x = - 14$

PLEASE MAKR ME BRAINLIEST IF YOU ARE HAPPY WITH THE ANSWER

8 0

3 years ago

Which is true regarding chords and diameters of circles?

Gelneren [198K]

Answer:

Both chords and diameters have two endpoints on a circle. Diameters must intersect the center of a circle.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

18. Last time Francis checked, her credit score was 659. Since then, she applied

zepelin [54]

Answer:

634

Step-by-step explanation:

659-25=634

Poor little Francis. :(

8 0

3 years ago