Question

1+$\frac{1}{2+\frac{1}{3+\frac{1}4} } }$

Answer 1

Answer:

1 and 1/ 20

Step-by-step explanation:

To add fractions you first must convert all of them into equivalent fractions that all have the same denominator. For this problem, 60 as your common denominator will work.

So this problem:

1/2+1/3+1/4+1/5 + 1/6

(×30) (x20) (x15) (x12) (x10)

Each fraction gets multiplied by a different number so that they all will have a denominator of 60. Then we take that same multiplier and apply to the numerator as well so that the fractions remain equivalent. Now it should look like this:

30/60+20/60+ 15/60+ 12/60 + 10/60

Now we can add all the numerators to get 87/60. The denominator stays 60.

87/60 is your answer, but it needs to be reduced and its an improper fraction because the numerator is

larger.

87/60- both numbers are divisible by 3 and we get:

29/20 - now its reduced but we still need to fix the improper fraction. We can do this by breaking it up...

20/20 + 9/20

20/20 =1, so our final answer will be

1 and 9/20

Hope that helps, and sorry I'm not on a device that let's me type fractions well.