Question

-2/3+2 3/8 as a mixed number in simplest form

Answer 1

1 17/24

Explanation:

-2/3 + 2 3/8 = ?

first, convert value two into an improper fraction (a fraction with the numerator larger than the denominator), 2 3/8 = 19/8

the equation is now

-2/3 + 19/8 = ?

to add fractions, the demoninator must be the same therefore,

find a common denominator, preferably the lowest, LCD

the lowest common denominator for 3 and 8 is 24

multiply equation one with 8, and multiply equation two with 3, therefore the denominators are the same

remember: whatever you do to the bottom you must do to the top! (i.e. when multiplying the denominator multiply the numerator with the same number)

therefore the equation is now

(-2/3*8/8)+(19/8*3/3) = ?

simplify

-16/24 + 57/24 = ?

you can rearrange the equation into a subtraction

57/24 - 16/24 = ?

now just subtract the numerator, (the denominator stays the same when adding or subtracting fractions)

41/24

since 41 is a prime number we can no longer simplify

now to convert it into a mixed fraction

how manu '24's' can fit into 41 ? 1, with a 17 remainder, we can cross check this by multiplying 1 by 24 and adding 17, if the answer is 41, it is correct

therefore

-2/3 + 2 3/8 = 1 17/24

Answer 2

`1(17)/(24)`

Explanation:

Rewriting our equation with parts separated

`-(2)/(3) + 2 +(3)/(8)`

Solving the fraction parts

`-(2)/(3) +(3)/(8) = ~?`

Find the LCD of 2/3 and 3/8 and rewrite to solve with the equivalent fractions.

LCD = 24

`-(16)/(24) +(9)/(24) =-(7)/(24)`

Combining the whole and fraction parts

`2-(7)/(24) =1(17)/(24)`

Therefore, The Answer is
`1(17)/(24)`

`-TheAnimeGirl-`