Using four DIFFERENT DIGITS TO CONSTRUCT FRACTIONS

Question

A) TWO FRACTIONS WITH A SUM AS BIG AS POSSIBLE

B) TWO FRACTIONS WITH A DIFFERENCE AS BIG AS POSSIBLE

C) TWO FRACTIONS WITH A PRODUCT AS BIG AS POSSIBLE

D) TWO FRACTIONS WITH A QUOTIENT AS BIG AS POSSIBLE

 

EXPLAIN PROCESS.    

 

I WAS THINKING 9, 8, 1, 0

Answer 1

 

2 FRACTIONS WITH LARGEST SUM

 

   We need the individual fractions to be as large as possible.

   The numerators must be the maxinum allowed.

   The denominators must be the minimum allowed

 

    We need a minimum o 1 digit per number ... the smallest 1 digit number we can use for the denominator is 1

 

   Therefore the largest fraction sum is:

  

       987/1 + 654/2

 

2 FRACTIONS WITH A DIFFERENCE AS BIG AS POSSIBLE

 

    We need to subtract the smallest fraction from the largest fraction.

    The smallest fraction has the smallest numerator and largest denominator

 

        987/1 - 2/654

      

2 FRACTIONS WITH A PRODUCT AS BIG AS POSSIBLE

 

     We need 2 improper fractions, as large as possible

 

         987/1 • 654/2

 

2 FRACTIONS WITH A QUOTIENT AS BIG AS POSSIBLE

 

      We need the largest dividend and the smallest duvisor

 

          987/1 ÷ 2/654