Question

What is the quotient in simplest form, 4/5 divided by 8. A.1/10 B.1/2 C.8 D.10

Answer 1

Answer:  A) 1/10

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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

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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.