Home > Algebra > Conversion of Decimals, Fractions, and Percent

How do you convert 3/11 to a decimal?

Answer 1

Genesis Allen

#3/11=0.272727...............#

#3/11#

= #30/11xx(1/10)#

= #(22+8)/11xx1/10#

= #22/11xx1/10+8/11xx1/10#

= #(2xx1)/10+80/11xx1/100#

= #2/10+(77+3)/11xx1/100#

= #2/10+77/11xx1/100+3/11xx1/100# or

#3/11=2/10+7/100+1/100xx(3/11)# ........(A)

Now using value of #3/11# from (A) within (A)

#3/11=2/10+7/100+1/100xx(2/10+7/100+1/100xx(3/11))#

= #2/10+7/100+2/1000+7/10000+1/10000xx(3/11))#

Now, if we continue doing this incessantly

#3/11=2/10+7/100+2/1000+7/10000+2/100000+7/1000000+......#

or #3/11=0.272727...............#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Hazel Anglin

To convert 3/11 to a decimal, you divide the numerator (3) by the denominator (11).

3 ÷ 11 = 0.2727 (repeating)

So, 3/11 as a decimal is approximately 0.2727.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.