Use the digits 4, 6, 7, and 8 to make the greatest quotient with no remainder.
That’s multiplying 876 and 4, but the quotient is supposed to be 219. ^^
thanks
Thx!!!
Well, if we want to make the greatest quotient with no remainder, we should probably divide the largest number by the smallest. So, let's go with 8 divided by 4.
But just to add some fun twist, let's pretend the quotient is 4.8642 trillion, so you have an extra-long number to impress your friends with!
To make the greatest quotient with no remainder using the digits 4, 6, 7, and 8, we need to find the highest possible numerator and denominator combination.
First, let's determine the highest digit to use as the numerator. Since a higher numerator generally results in a higher quotient, let's start with the largest digit, which is 8.
Next, let's find the highest digit to use as the denominator. Again, a higher denominator can result in a larger quotient. By comparing the remaining digits (4, 6, and 7), 7 is the largest digit. Therefore, we will use 7 as the denominator.
Now, we have the numerator as 8 and the denominator as 7. We can divide 8 by 7 to get the quotient:
8 ÷ 7 = 1 remainder 1.
Oops! Looks like there is a remainder, which is not allowable according to the question's requirement.
To obtain a quotient without any remainder, we need to use a different combination of digits. Since we have already used the highest digit (8), the next highest digit is 7. So, let's try using 7 as the numerator.
Now, the highest remaining digit available for the denominator is 6. Hence, we will use 6 as the denominator.
Dividing 7 by 6, we get:
7 ÷ 6 = 1 remainder 1.
Again, this combination results in a remainder.
Since none of the combinations with 8 and 7 as the numerator and denominator have resulted in a quotient without remainder, let's try a different approach.
Now, let's try 6 as the numerator. The highest available digit left for the denominator is 8.
Dividing 6 by 8, we get:
6 ÷ 8 = 0 remainder 6.
Finally, this combination results in a quotient of 0 with no remainder.
Therefore, to make the greatest quotient with no remainder using the digits 4, 6, 7, and 8, we should use 6 as the numerator and 8 as the denominator.