Mathematics: What is .16 repeating as a simplified fraction?

General Formulas and Concepts:Pre-AlgebraOrder of Operations: BPEMDAS Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right Algebra IIDistance Formula: Step-by-step explanation:Step 1: DefinePoint (-1, 4)Point (1, -1)Step 2: Find distance dSimply plug in the 2 coordinates into the distance formula to find distance dSubstitute [DF]: Add/Subtract: Exponents: Add: ...

What is .16 repeating as a simplified fraction? - id16606623, danielaguardado63

Ответ:

nomad4692

11.03.2022

Mathematics

I'm assuming this is 0.1666666...

Which in that case is 1/6.

(Just from memory)

To do 0.161616161616...

First, assign 0.161616... a variable, say it's x.

Now say 100x, what is it.

16.1616161616...

Now subtract x from 100x.

16.161616161616... - 0.16161616...

Or, 99x

99x = 16 in this case right now

Divide both sides by 99

x = 16/99

So it really depends what's repeating, it's either 1/6 or 16/99.

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Ответ:

gracieorman4

17.01.2020

Mathematics

$\displaystyle d = \sqrt{29}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point (-1, 4)

Point (1, -1)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute [DF]: $\displaystyle d = \sqrt{(1+1)^2+(-1-4)^2}$ Add/Subtract: $\displaystyle d = \sqrt{(2)^2+(-5)^2}$ Exponents: $\displaystyle d = \sqrt{4+25}$ Add: $\displaystyle d = \sqrt{29}$

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What is .16 repeating as a simplified fraction?

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