Question
upstudy study bank question image url

Evaluate the expression \( c-b \) when \( b=\frac{4}{5} \) and \( c=6 \). Write in simplest form.

Ask by Bryant May. in the United States
Feb 04,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

\( c - b = \frac{26}{5} \)

Solution

To evaluate the expression \( c - b \) with the given values \( b = \frac{4}{5} \) and \( c = 6 \), follow these steps: 1. **Substitute the values into the expression:** \[ c - b = 6 - \frac{4}{5} \] 2. **Convert the whole number 6 to a fraction with the same denominator as \( \frac{4}{5} \) to facilitate subtraction:** \[ 6 = \frac{6 \times 5}{5} = \frac{30}{5} \] 3. **Subtract the fractions:** \[ \frac{30}{5} - \frac{4}{5} = \frac{30 - 4}{5} = \frac{26}{5} \] 4. **Simplify the fraction if necessary:** \[ \frac{26}{5} \text{ is already in its simplest form.} \] **Final Answer:** \[ c - b = \frac{26}{5} \]

Reviewed and approved by the UpStudy tutoring team

error msg
Explain
Simplify this solution

Mind Expander

To evaluate the expression \( c-b \) when \( b=\frac{4}{5} \) and \( c=6 \), we substitute these values into the expression: \[ c - b = 6 - \frac{4}{5} \] To perform the subtraction, we need to express 6 as a fraction with a denominator of 5: \[ 6 = \frac{30}{5} \] Now we can subtract: \[ c - b = \frac{30}{5} - \frac{4}{5} = \frac{30 - 4}{5} = \frac{26}{5} \] Thus, the expression \( c - b \) in simplest form is: \[ \frac{26}{5} \]

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