Question
upstudy study bank question image url

Show work and simplify your answer:

Ask by Curry Daniels. in the United States
Jan 30,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Solution

Sure! Let’s add the mixed numbers and step by step.

Step 1: Simplify the Mixed Numbers

First, simplify the fractional parts of each mixed number if possible.
  1. Simplify :
    So, simplifies to .
  2. Simplify :
    This fraction is already in its simplest form.
Now, the problem looks like:

Step 2: Add the Whole Numbers

Add the whole number parts of the mixed numbers:

Step 3: Add the Fractional Parts

Now, add the fractional parts:
To add these fractions, they need a common denominator. The least common denominator (LCD) of 2 and 4 is 4.
  1. Convert to fourths:
  2. Add the fractions:
  3. Simplify to a mixed number:

Step 4: Combine the Whole Numbers and Fractions

Add the sum of the whole numbers to the sum of the fractions:

Final Answer

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Bonus Knowledge

To add the mixed numbers and , we first convert them to improper fractions.
Starting with :
Convert the whole number: .
So, .
Now for :
Convert the whole number: .
So, .
Next, we need a common denominator to add the two fractions. The least common multiple of 20 and 4 is 20.
Convert to have a denominator of 20:
Multiply the numerator and denominator by 5: .
Now we can add :
Now, let’s simplify by dividing both the numerator and the denominator by 5:
Now, convert back to a mixed number:
remainder 1. Thus, .
So, the simplified answer is .

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy