Try now NerdPal! Our new app on iOS and Android

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

## Step-by-step Solution

Go!
Math mode
Text mode
Go!
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

###  Videos

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

##  Step-by-step Solution 

Problem to solve:

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

Specify the solving method

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. Combine 1+\frac{1}{4+\frac{1}{4}} in a single fraction. Divide fractions \frac{1}{\frac{\frac{21}{4}}{4+\frac{1}{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}. Divide \frac{17}{4} by \frac{21}{4}.

$\frac{59}{38}$

SnapXam A2

Go!
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

~ 0.02 s

###  Join 500k+ students in problem solving.

##### Without automatic renewal.
Create an Account