Answer:
1 17/24
Step-by-step 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
