What is the product of 7/8 and 4/21?

Question

What is the product of 7/8 and 4/21?

Answer 1

Hi Chris;

SINCE I LAST POSTED THIS, I REALIZED I MADE A MISTAKE.  PLEASE SEE BELOW FOR THE CORRECT SOLUTION.  I APOLOGIZE!!!!!!!!!!!!!!!!!

 

7/8  x  4/21

 

 

(7x4)/(8x21)=28/168

 

 

Let's divide the top and bottom by 7...

(28/7)/(168/7)=4/24

 

Let's divide the top and bottom by 4...

1/6

 

 

Answer 2

1.  First, note that "product" refers to "multiplication"

2.  Set up the equation

         (7/8)(4/21) = ?

3.  Multiply the numerators and then multiply the denominators together

         (7)(4)/(8)(21) = 28/168

4.  Reduce the fraction buy factoring out (and thus cancelling) the greatest common factor (GCF)

         (28)/(168) = (28)(1)/(28)(6)

5.  The GCF, 28, cancels (as 28/28 is 1) and the resulting fraction is your answer

         1/6