how do I answer this

Question

2 3/7 divided by 5

An estimate of the quotient is?

?(Simplify your answer. Type a whole number or a? fraction.)

The exact answer of the quotient is?

?(Simplify your answer. Type a whole number or a? fraction.)

Answer 1

Michelle, since 3/7 is close to 3/6, which we know equals 1/2, then we can estimate 2 1/2 divided by 5 as 1/2, since 2 1/2 is half of 5.

 

Like your other problem that I just answered, to divide fractions, we flip the 2nd and multiply, just like Mark said. Since 5 = 5/1, it flips to become 1/5.

 

17/7 x 1/5 = 17/35.

 

Hey, since 17/35 is close to 17/34, which equals 1/2, our estimate was close!

Answer 2

Hi Michelle,

 

You want to express the mixed fraction 2 3/7 as an improper fraction first. We can multiply 7 and 2 and add 3 and divide everything by 7 to give 17/7. So, 2 3/7 = 17/7.

 

We want to divide 17/7 by 5. But, dividing by 5 is the same as multiplying by 1/5. So, we can write

 

(17/7)(1/5) = 17/35

 

17/35 is the exact rational answer.

 

If you want an approximation, you can write the decimal value as

 

17/35  = 0.4857...