Question

You gave 1/12 of a pan of brownies to one friend and another 3/8 of the pan to a different friend . How much of the pan of brownies did you give away in all?

Answer 1

You gave away
`\((5)/(24)\)` of the pan of brownies in total.

Step-by-step explanation:

In order to find the total fraction of the pan of brownies given away, we need to add the fractions given to each friend. You gave
`\((1)/(12)\)` of the pan to one friend and
`\((3)/(8)\)` of the pan to another friend. To add these fractions, we need a common denominator. In this case, the least common denominator is 24.

For the first fraction,
`\((1)/(12)\)`, we can multiply the numerator and denominator by 2 to get a denominator of 24. This gives us
`\((2)/(24)\)`. For the second fraction,
`\((3)/(8)\)`, we can multiply the numerator and denominator by 3 to get a denominator of 24, resulting in
`\((9)/(24)\).` Now, we can add these fractions together:

`\[ (2)/(24) + (9)/(24) = (11)/(24) \]`

Therefore, you gave away
`\((11)/(24)\)` of the pan of brownies in total. However, it's often advisable to simplify fractions. In this case, the fraction
`\((11)/(24)\)` can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 1. Therefore, the final simplified fraction is
`\((11)/(24)\)`, indicating that you gave away this fraction of the pan of brownies.