Hello, I need a little assistance with showing my work on this question. The equation is -4 7/8 x 2/3. I have to explain how this person is wrong then show the work the correct way. Okay so the person's work is written as, "-4 7/8 x 2/3 = -4 14/24 = -4 7/12" So, I have to explain how that's wrong and what mistakes were made then provide the answer and the work. I've figured out the answer, 3 11/12. I just need assistance with showing my work. Please. :)
-4 7/8 = -(4 + 7/8)
so, (-4 7/8)(2/3) = -4(2/3) - (7/8)(2/3)
the example shown forgets to multiply the 4 by 2/3
3 11/12 is also wrong, most clearly because it is not negative. How did you arrive at that answer? How can you possibly need assistance in showing your own work?
Oh my god. I said the wrong answer.
I meant to write it as negative and I accidentally wrote my answer to the previous answer and the answer I got is 3 1/4. I don't really understand how to show my work with multiplying fractions so I'm going to be honest I calculated my answer with a calculator now I just needed assistance with showing my work so I can get full credit. :/
-4 7/8 = -39/8
(-39/8)(2/3) = -78/24 = -13/4 = -3 1/4
Sure, I'd be happy to help you show your work for this problem.
First, let's identify the mistake made in the person's work. The mistake occurs when they convert the fraction 14/24 to a mixed number. Instead of getting the correct result of 7/12, they mistakenly write 7/8.
To correct this mistake, we need to properly multiply -4 7/8 by 2/3.
Here's the correct way to solve the problem:
Step 1: Convert the mixed number -4 7/8 to an improper fraction.
To do this, multiply the whole number (-4) by the denominator (8) and add the numerator (7). Then, write the sum over the denominator (8).
-4 7/8 = (-4 * 8 + 7)/8 = (-32 + 7)/8 = -25/8
Step 2: Multiply the improper fraction by the fraction 2/3.
To multiply fractions, multiply the numerators together and the denominators together.
(-25/8) * (2/3) = (-25 * 2)/(8 * 3) = -50/24
Step 3: Simplify the resulting fraction.
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator, then divide both by the GCD.
The GCD of 50 and 24 is 2.
-50/24 ÷ 2/2 = -25/12
Step 4: Convert the resulting improper fraction back to a mixed number (if needed).
To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder becomes the new numerator. The denominator remains the same.
-25/12 = -2 remainder 11 /12 = -2 11/12
Therefore, the correct answer is -2 11/12.
I hope this helps you show your work correctly and get the right answer!