what is 11/13 rounded to the nearest hundredth

Question

i need help i don't know how to round fractions and i'm struggling and i hear this is the best site for help so can help me i would really appriciate it

Answer 1

11/13 = 0.84615 (plus some more decimal digits)

 

To the nearest hundredth, we look at the second decimal place, which has a 4.  If the next number to the right is 5 or higher, add 1 to the 4.  If it is lower than 5, we cut off at the 4.  Since the 4 is followed by a 6, we raise the 4 by 1 to 5 and then cut off the number there:

 

11/13 = 0.85 (to the nearest hundredth)

Answer 2

Let's determine this with long division.

 

13 into 11 goes 0 times with a remainder of 11.

13 into 110 goes 8 times with a remainder of 6 (8*13=104).

13 into 60 goes 4 times with a remainder of 8 (4*13=52).

13 into 80 goes 6 times with a remainder of 2 (6*13=78).

 

Thus, 13/11 is approximately 0.846, which is rounded up to 0.85 when rounded to the hundredths place because 6 (the thousandths digit) is greater than or equal to 5.