Answer:
hope it's help you dear
Step-by-step explanation:
The decimal part of your number seems to have the repeating digit 5 in it.
Your original number to convert is 1.550000. Let's slide the decimal point in this number to the right 1 place(s) (the same number of digits in the number 5).
If we do this, we'll get a 15.500000 (slide the decimal in the 1.550000 right 1 places, you'll get 15.500000).
So what? Well now, we have two numbers with the same repeating decimal parts, 15.500000 and 1.550000.
Now let's just work a little algebra into all of this. Let's call your original number x. And in this case, x=1.550000. The number with the decimal point slid over can be called 10x, because 10x=15.500000
What if we subtracted these two equations (that is, subtract the items on the left of the equal sign
from the stuff on the right of the equal sign)?
10x = 15.5
- x = 1.55
----------
9x = 13.95.
Now here's the important result of doing all of this: Notice how all of the repeating decimal parts have subtracted away to zero! We are left with a nice, simple 14 on the right side of the equal sign.
Now, solving 9x=14 for x by dividing both sides of it by 9, we'll get that x=14/9. And this is your answer.
How is this your answer? Well remember that above, x was originally set equal to 1.550000 via x=1.550000, and now we have that x is also equal to 14/9, so that means 1.550000=14/9..and there's 1.550000 written as a fraction!
The fraction is an improper fraction (the numerator is greater than the denominator).
While there is nothing incorrect about this, an improper fraction is typically
simplified further into a mixed number.
The whole number part of the mixed number is found by dividing the 14 by the 9.
In this case we get 1.
The fractional part of the mixed number is found by using the remainder of the division,
which in this case is 5 (14 divided by 9 is 1 remainder 5).
So your final answer is: 1.550000 can be written as the fraction
=
=
=
=
= 3.5. So
= 21.
