Answer :
Kade has 1/6 cup of salad dressing left after using some on a salad. We found this by converting 2/3 cup to 4/6 cup and then subtracting it from the 5/6 cup he initially had.
To find out how much salad dressing Kade has left after using some on a salad, we need to subtract the amount used from the total amount he made. Kade made 5/6 cup of salad dressing and used 2/3 cup on a salad. To perform the subtraction, both fractions need a common denominator. The smallest common denominator for 6 and 3 is 6. The fraction 2/3 can be converted to 4/6 so that both fractions have the same denominator. Now we can subtract:
- Convert 2/3 cup to 4/6 cup (Since 3*2 = 6, and 2*2 = 4).
- Subtract 4/6 cup from 5/6 cup: 5/6 - 4/6 = 1/6 cup.
Hence, Kade has 1/6 cup of salad dressing left after using it on the salad.
To solve [tex] \frac{5}{6} - \frac{2}{3} [/tex], we need to find a common denominator. If we multiply [tex] \frac{2}{3} [/tex] by [tex] \frac{2}{2} [/tex], we get [tex] \frac{4}{6} [/tex]. The reason we can do this is because two over two is really just equivalent to 1, and multiplying a number times one equals the original number. So if you're subtracting [tex] \frac{4}{6} [/tex] from [tex] \frac{5}{6} [/tex], you have
[tex] \dfrac{5}{6} - \dfrac{4}{6} = \dfrac{5-4}{6} = \dfrac{1}{6} \ cups[/tex].
[tex] \dfrac{5}{6} - \dfrac{4}{6} = \dfrac{5-4}{6} = \dfrac{1}{6} \ cups[/tex].