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

Step-by-step Solution

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$\frac{59}{38}$
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 Step-by-step Solution 

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1

Divide $1$ by $4$

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

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

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

Learn how to solve addition of numbers problems step by step online. Simplify 1+1/(1+1/(1+1/(4+1/4))). Divide 1 by 4. Add the values 4 and \frac{1}{4}. Divide 1 by \frac{17}{4}. Add the values 1 and \frac{4}{17}.

$\frac{59}{38}$

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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

SimplifyWrite in simplest formFactorFactor by completing the squareFind the integralFind the derivativeFind break even pointsFind the discriminantPrime Factor Decomposition

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1
2
3
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

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