Question
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
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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: \[ \frac{26}{5} \]