Answer:
The smallest whole number that can be the value of the expression is 2
Step-by-step explanation:
Given that the letters represent different digits, to get the smallest whole number value for the expression we have;
[tex]\dfrac{K \times A \times N \times G \times A \times R \times O \times O}{G \times A \times M \times E}[/tex]
The letters G and A cancel out from the numerator and the denominator to give;
[tex]\dfrac{K \times A \times N \times R \times O \times O}{M \times E}[/tex]
Therefore, the smallest whole number can be from 2 and above as the product of six digits is more than one times the product of two digits
If we put
K = 2, A = 3, N = 4, R = 6, O = 1, M = 9, and E = 8, we have;
[tex]\dfrac{2 \times 3 \times 4 \times 6 \times 1 \times 1}{9 \times 8} = \dfrac{144}{72} =2[/tex]
Therefore, the smallest whole number that can be the value of the expression = 2.
