How do you re-write 0.7 repeating as a simplified fraction?

Mathematics

2 answers:

Kobotan [32]2 years ago

4 0

Answer:

$\frac{7}{9}$

Step-by-step explanation:

Given

0.77......

We require 2 equations with the repeating part after the decimal point.

let x = 0.77.... (1) ← multiply both sides by 10

10x = 7.77.... (2)

Subtract (1) from (2) thus eliminating the repeating decimal

9x = 7 ( divide both sides by 9 )

x = $\frac{7}{9}$

Brums [2.3K]2 years ago

3 0

Answer:

7/10

Step-by-step explanation:

because .7*10 = 70 and it would be 70/100 so you simplify it to 7/10

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Please help!!

Eduardwww [97]

Answer: 0.336

Step-by-step explanation:

n=7

r=2,1,0

p=44%=0.44

q=1-0.44=0.56

7C2(0.44)^2(0.55)^5 +

7C1(0.44)^1(0.56)^6 +

7C0(0.44)^0(0.56)^7

Evaluate:

0.2239055109+

0.0949902167 +

0.0172709485

Sum: 0.33617= 0.336

5 0

2 years ago

3/x+2 = 2/x−1 pleasee help

olga_2 [115]

So you have:
$\frac{3}{x} + 2 = \frac{2}{x} - 1
$

1) Start off by multiplying both sides by x to simplify the problem:
$\frac{3}{x} + 2 = \frac{2}{x} - 1 \\
x(\frac{3}{x} + 2) = (\frac{2}{x} - 1)x\\
3 + 2x = 2 - x
$

2) Now isolate the x by moving all terms with x onto one side and all other terms onto the other side:
$3 + 2x = 2 - x\\
3x = -1$

3) Finally, divide by 3 on both sides to find the value of x:
$3x = -1\\
x = \frac{-1}{3}$

------

Answer: x = $\frac{-1}{3}$