What is the quotient in simplest form, 4/5 divided by 8.

A.1/10
B.1/2
C.8
D.10

Work Shown:

(4/5) divided by 8

(4/5) divided by (8/1)

(4/5) * (1/8) flip the second fraction and multiply

(4*1)/(5*8)

(4*1)/(5*4*2)

1/(5*2) ... the '4's cancel

1/10

Alternative method:

4/5 = 0.8 when using a calculator or long division

(4/5) divided by 8 = 0.8/8 = 0.1

0.1 = 1/10

The digit 1 in 0.1 is in the tenths place, so that's why 0.1 = 1/10

Or you could use your calculator to see that 1/10 = 0.1

Another idea is to do

0.1 = 0.1/1 = 0.1/1.0 = 1.0/10.0 = 1/10

here I moved the decimal point 2 spots to the right for the numerator and denominator.

b. f(x) = –√x + 3this is the correct answer