QQuestionMathematics
QuestionMathematics
My fraction is equivalent to 8 / 6 and has a numerator that is 4 more than its denominator. What is the fraction?
11 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:I'll solve this step by step using the specified LaTeX formatting guidelines:
Step 2:: Let's define our variables
- Let the denominator be $$x
- The numerator will be x + 4
Step 3:: Set up the equivalence condition
We know the fraction is equivalent to $$\frac{8}{6}$$, which can be simplified to $$\frac{4}{3}
Step 4:: Create an equation
\frac{x + 4}{x} = \frac{4}{3}
Step 5:: Cross multiply
3(x + 4) = 4x
Step 6:: Distribute the 3
3x + 12 = 4x
Step 7:: Solve for x
12 = x
Step 8:: Verify the solution
- Fraction: $$\frac{16}{12}$$, which simplifies to $$\frac{4}{3}
- Numerator: x + 4 = 16
Final Answer
The fraction is \frac{16}{12} or simplified \frac{4}{3}.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students