mopmorf
contestada

WILL GIVE BRAINLY!!!
.

.

Convert a repeating decimal two an improper fraction or mixed number. Upload all of your work as part of your final answer.
___
3.152

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]