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# Simplify $1+\frac{1}{1+\frac{1}{1+\frac{1}{4+\frac{1}{4}}}}$

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##  Final answer to the problem

$\frac{59}{38}$
Got another answer? Verify it here!

##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Write in simplest form
• Prime Factor Decomposition
• Solve by quadratic formula (general formula)
• Find the derivative using the definition
• Simplify
• Find the integral
• Find the derivative
• Factor
• Factor by completing the square
Can't find a method? Tell us so we can add it.
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Simplify the addition $4+\frac{1}{4}$

$1+\frac{1}{1+\frac{1}{1+\frac{1}{\frac{17}{4}}}}$

Learn how to solve addition of numbers problems step by step online.

$1+\frac{1}{1+\frac{1}{1+\frac{1}{\frac{17}{4}}}}$

Learn how to solve addition of numbers problems step by step online. Simplify 1+1/(1+1/(1+1/(4+1/4))). Simplify the addition 4+\frac{1}{4}. Divide fractions \frac{1}{\frac{17}{4}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Simplify the addition 1+\frac{4}{17}. Divide fractions \frac{1}{\frac{21}{17}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}.

##  Final answer to the problem

$\frac{59}{38}$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SnapXam A2

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4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

###  Main Topic: Addition of Numbers

The terms of the addition, a and b, are called addends and the result, c is the sum.