Answer :
Sure, let's go through the steps to solve the problem and understand how the result was obtained.
1. Calculate Each Fraction Separately:
- The first term is calculated as [tex]\(\frac{3 \times 6}{4 \times 6}\)[/tex].
- Simplifying that, we have [tex]\(\frac{18}{24}\)[/tex], which is equal to 0.75.
2. Calculate the Second Term:
- The second term is [tex]\(\frac{5+4}{6+4}\)[/tex].
- Simplifying, we get [tex]\(\frac{9}{10}\)[/tex], which is equal to 0.9.
3. Add the Two Terms Together:
- The combined value of the two terms is 0.75 + 0.9, which equals 1.65.
4. Combine Fractions and Simplify:
- Combining the fractions [tex]\(\frac{18}{24} + \frac{20}{24}\)[/tex], we focus on a common denominator.
- This gives us [tex]\(\frac{38}{24}\)[/tex], which simplifies to approximately 1.58333.
5. Express the Result as a Mixed Number:
- The next step is to express the total as a mixed number.
- This results in [tex]\(1 + \frac{14}{24}\)[/tex].
- The fractional part, [tex]\(\frac{14}{24}\)[/tex], simplifies to approximately 0.58333.
6. Simplifying Further:
- Finally, when you divide [tex]\(\frac{14}{24}\)[/tex] by 2, you get approximately 0.29167.
That's how we reach the solution with the series of calculations we performed!
1. Calculate Each Fraction Separately:
- The first term is calculated as [tex]\(\frac{3 \times 6}{4 \times 6}\)[/tex].
- Simplifying that, we have [tex]\(\frac{18}{24}\)[/tex], which is equal to 0.75.
2. Calculate the Second Term:
- The second term is [tex]\(\frac{5+4}{6+4}\)[/tex].
- Simplifying, we get [tex]\(\frac{9}{10}\)[/tex], which is equal to 0.9.
3. Add the Two Terms Together:
- The combined value of the two terms is 0.75 + 0.9, which equals 1.65.
4. Combine Fractions and Simplify:
- Combining the fractions [tex]\(\frac{18}{24} + \frac{20}{24}\)[/tex], we focus on a common denominator.
- This gives us [tex]\(\frac{38}{24}\)[/tex], which simplifies to approximately 1.58333.
5. Express the Result as a Mixed Number:
- The next step is to express the total as a mixed number.
- This results in [tex]\(1 + \frac{14}{24}\)[/tex].
- The fractional part, [tex]\(\frac{14}{24}\)[/tex], simplifies to approximately 0.58333.
6. Simplifying Further:
- Finally, when you divide [tex]\(\frac{14}{24}\)[/tex] by 2, you get approximately 0.29167.
That's how we reach the solution with the series of calculations we performed!
