Solve the Ratio Equation: 4 to 6/8 Comparison

4:68= 4:\frac{6}{8}=

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's solve a math problem together.
00:08 Remember, when any number is divided by one, it equals the number itself.
00:18 We can change division into multiplication by using the reciprocal. Let's do that now.
00:28 Be sure to multiply the numerators together, and then multiply the denominators together.
00:35 Go ahead and calculate these multiplications.
00:40 Next, let's convert our answer to a mixed number.
00:45 We can do this by breaking down 32 into 30 plus 2.
00:49 Now, let's break the fraction into a whole number and a remainder.
00:54 Then convert the proper fraction to a whole number. Add this to get a mixed number.
01:00 Finally, reduce the fraction if you can. And there you have it!
01:11 That's how you solve the question. Well done!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

4:68= 4:\frac{6}{8}=

2

Step-by-step solution

To solve this problem, we'll proceed as follows:

  • Step 1: Simplify the fraction 68\frac{6}{8}.
  • Step 2: Use the formula for dividing by a fraction by multiplying by its reciprocal.
  • Step 3: Simplify the resulting fraction or convert it to a mixed number.

Let's work through these steps:

Step 1: Simplify 68\frac{6}{8}.
68\frac{6}{8} simplifies to 34\frac{3}{4} by dividing the numerator and the denominator by 2 (the greatest common divisor).

Step 2: Find the reciprocal of 34\frac{3}{4} and multiply it by 4.
The reciprocal of 34\frac{3}{4} is 43\frac{4}{3}.
So, 4÷34=4×43=1634 \div \frac{3}{4} = 4 \times \frac{4}{3} = \frac{16}{3}.

Step 3: Simplify 163\frac{16}{3} to a mixed number.
163\frac{16}{3} can be expressed as 5135\frac{1}{3} since 16 divided by 3 is 5 with a remainder of 1.

Therefore, the solution to the problem is 5135\frac{1}{3}.

3

Final Answer

513 5\frac{1}{3}

Practice Quiz

Test your knowledge with interactive questions

\( \frac{1}{2}:3= \)\( \)\( \)\( \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Mixed Fractions questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations