Adair had 6 1/2 cups of tomato juice. he used 4/5 of the juice to make soup. how many cups of tomato juice did adair use to make soup?

Adair used 4/5 of 6 1/2 cups of tomato juice. To figure out this amount, we must multiply 4/5 by 6 1/2.

However, first we must convert 6 1/2 from a mixed number to an improper fraction to simplify the multiplication process. To do this, we have to multiply the whole number (6) by the denominator (2) and then add the numerator (1).

6*2=12, 12+1=13. Therefore, 6 1/2 = 13/2.

Now, we must multiply 4/5 by 13/2 to figure out how much tomato juice Adair used. To do this, we must multiply the two numerators and the two denominators together and simplify the resulting fraction.

4/5 * 13/2 = 4*13/5*2=52/10

To simplify 52/10, we must find the GCF, or greatest common factor of 52 and 10, which is 2.

52/2 = 26, 10/2 = 5, 52/10 = 26/5.

Therefore, Adair used 26/5, or 5 1/5 cups of tomato juice in his soup.

Hope this helps!