Question

Write the repeating decimal 4.1363636… as a fraction.

Answer 1

Answer:4¹⁵/110

Step-by-step explanation:

Take x to be the number

X=4.13636363

Since the repeating numbers are 2 you multiply the number by 100

100x =413.636363

When we minus 413.6363 and 4.136363 we will get a decimal

We multiply the value for x by 1000 we get 4136.3636

And when we minus 4136.3636 by the values of 1x and 100x we will still get a decimal

We multiply the value of x by 10000 we will get 41363.6363 when we divide it by the values of 1x we will get a decimal but when we divide it by the value of 100x we will not get a decimal

Then we minus them

10000×-100×=9900x

41363.6363-413.6363=40950

9900x=40950

Divide both sides by 9900

9900x÷9900=40950÷9900

X=4¹⁵/110