Answer :
Sure! Let's solve the equation step by step.
We are given the equation [tex]\(\frac{1}{5} + s = \frac{32}{40}\)[/tex].
Part A: Find possible values of [tex]\(s\)[/tex].
1. Simplify the right side of the equation:
- [tex]\(\frac{32}{40}\)[/tex] can be simplified. To simplify, we need to find the greatest common divisor (GCD) of 32 and 40, which is 8.
- Divide both the numerator and the denominator by 8:
[tex]\[\frac{32 \div 8}{40 \div 8} = \frac{4}{5}\][/tex]
- So, the equation becomes [tex]\(\frac{1}{5} + s = \frac{4}{5}\)[/tex].
2. Subtract [tex]\(\frac{1}{5}\)[/tex] from both sides to solve for [tex]\(s\)[/tex]:
- [tex]\(\frac{1}{5} + s - \frac{1}{5} = \frac{4}{5} - \frac{1}{5}\)[/tex]
- This simplifies to:
[tex]\[s = \frac{4}{5} - \frac{1}{5}\][/tex]
3. Calculate the value of [tex]\(s\)[/tex]:
- Subtract the fractions:
[tex]\[\frac{4}{5} - \frac{1}{5} = \frac{4 - 1}{5} = \frac{3}{5}\][/tex]
- Therefore, the value of [tex]\(s\)[/tex] is [tex]\(\frac{3}{5}\)[/tex].
Part B: Solve for the variable.
To solve for [tex]\(s\)[/tex], we followed these steps:
- Start with the equation: [tex]\(\frac{1}{5} + s = \frac{4}{5}\)[/tex].
- Subtract [tex]\(\frac{1}{5}\)[/tex] from both sides to isolate [tex]\(s\)[/tex].
- After subtracting [tex]\(\frac{1}{5}\)[/tex] from [tex]\(\frac{4}{5}\)[/tex], we get [tex]\(\frac{3}{5}\)[/tex].
Therefore, the solution for [tex]\(s\)[/tex] is [tex]\(\frac{3}{5}\)[/tex], which is approximately equal to 0.6 in decimal form.
We are given the equation [tex]\(\frac{1}{5} + s = \frac{32}{40}\)[/tex].
Part A: Find possible values of [tex]\(s\)[/tex].
1. Simplify the right side of the equation:
- [tex]\(\frac{32}{40}\)[/tex] can be simplified. To simplify, we need to find the greatest common divisor (GCD) of 32 and 40, which is 8.
- Divide both the numerator and the denominator by 8:
[tex]\[\frac{32 \div 8}{40 \div 8} = \frac{4}{5}\][/tex]
- So, the equation becomes [tex]\(\frac{1}{5} + s = \frac{4}{5}\)[/tex].
2. Subtract [tex]\(\frac{1}{5}\)[/tex] from both sides to solve for [tex]\(s\)[/tex]:
- [tex]\(\frac{1}{5} + s - \frac{1}{5} = \frac{4}{5} - \frac{1}{5}\)[/tex]
- This simplifies to:
[tex]\[s = \frac{4}{5} - \frac{1}{5}\][/tex]
3. Calculate the value of [tex]\(s\)[/tex]:
- Subtract the fractions:
[tex]\[\frac{4}{5} - \frac{1}{5} = \frac{4 - 1}{5} = \frac{3}{5}\][/tex]
- Therefore, the value of [tex]\(s\)[/tex] is [tex]\(\frac{3}{5}\)[/tex].
Part B: Solve for the variable.
To solve for [tex]\(s\)[/tex], we followed these steps:
- Start with the equation: [tex]\(\frac{1}{5} + s = \frac{4}{5}\)[/tex].
- Subtract [tex]\(\frac{1}{5}\)[/tex] from both sides to isolate [tex]\(s\)[/tex].
- After subtracting [tex]\(\frac{1}{5}\)[/tex] from [tex]\(\frac{4}{5}\)[/tex], we get [tex]\(\frac{3}{5}\)[/tex].
Therefore, the solution for [tex]\(s\)[/tex] is [tex]\(\frac{3}{5}\)[/tex], which is approximately equal to 0.6 in decimal form.
