Perform each operation, convert to a fraction, & then convert your answer back to a mix number.
-4(7/8)x 3(2/3) I did 8*-4+7/8 & got -25/8
then 3*3+2/3 & got 11/3 then i multiplied -25/8* 11/3 & got -275/34 but it's not the right answer, the answer is -17(7/8) not sure what I'm doing wrong?
-4(7/8)x 3(2/3)
-28/8 * 6/3 = -168/24 = 7
i'm still a bit confused
To correctly perform the operation and convert the answer back to a mixed number, you need to follow these steps:
Step 1: Perform the multiplication -4(7/8) × 3(2/3)
To multiply these mixed numbers, convert them to improper fractions first.
-4(7/8) = -4 × 8/8 + 7/8 = -32/8 + 7/8 = -25/8
3(2/3) = 3 × 3/3 + 2/3 = 9/3 + 2/3 = 11/3
Then multiply the fractions: (-25/8) × (11/3) = -275/24
Step 2: Convert the answer to a mixed number
To convert an improper fraction to a mixed number, divide the numerator by the denominator and express the remainder as a fraction. Here's how you can do it:
Divide -275 by 24:
-275 ÷ 24 = -11 with a remainder of -11
Express the remainder as a fraction: -11/24
Combine the whole number, the fraction, and the remainder to get the mixed number:
-11 + -11/24 = -11 11/24
Therefore, the correct answer is -11 11/24, not -17 7/8.
It seems like you made a mistake in the multiplication of -25/8 and 11/3. Please double-check your calculation to correct the error.