Respuesta :
Answer:
3149/999 = 3 152/999
Step-by-step explanation:
I'll assume the bar is over 152 and there is a typo.
Use a step-by-step calculator (I recommend Symbolab) OR:
Let x equal 3.152...
1000x = 3152.152...
1000x-x = 3152.152... - 3.152...
999x =
3152.152...
- 3.152...
3149
Cancel out the .152...
999x = 3149
Divide by 999 on each side
x=3149/999 = 3 152/999
Answer:
The given number is 3.152.
Notice that this is a rational number without a repetition pattern, that means we just need to divide all digist without the decimal point by 1000, because the number of zeros always depends on the number of decimals, which are three in this case.
[tex]\frac{3152}{1000}[/tex]
Then, we simplfy
[tex]\frac{3152}{1000}=\frac{1576}{500}=\frac{788}{250}=\frac{394}{125}[/tex]
So, the improper fraction equal to 3.152 is 394/125.
The mixed number is [tex]\frac{394}{125}=3\frac{19}{125}[/tex]