Question
upstudy study bank question image url

2. The Yu family drove \( \frac{1}{2} \) of the distance to the beach one day. \( \mathrm{Mr}, \mathrm{Yu} \) drove ? of the way. What fraction of the distance to the beach did Mr . Yu drive that day? Write an expression that could be used to find the answer. \[ 2 \times \frac{11}{2} \] 1. Divide the area model into thirds using two horizontal lines and shade \( \frac{2}{3} \) of the model. 4. Divide the area model into halves using a vertical line and shade \( \frac{1}{2} \) of the model. 5. The area model is divided into \( \qquad \) equal parts. Each part is \( \frac{1}{5} \) of the model. 6. The shading overlaps in \( \qquad \) parts. 7. \( \frac{2}{3} x \) \( x \frac{1}{2}=\frac{1}{6} \) or \( \qquad \) \( \frac{11}{3} \) So, Mr. Yu drove \( \qquad \) of the distance to the beach.

Ask by Zimmerman Schneider. in the United States
Mar 18,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Mr. Yu drove \( \frac{1}{3} \) of the distance to the beach.

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

The Deep Dive

To find out how far Mr. Yu drove on that lovely beach day, we can start by noting that he drove half the distance to the beach, which simply means we need to express \( \frac{1}{2} \) in fractional terms. Therefore, if the total distance is represented as 1, then driving \( \frac{1}{2} \) of that translates to the fraction \( \frac{1}{2} \times 1 = \frac{1}{2} \). So, Mr. Yu indeed drove \( \frac{1}{2} \) of the way! Now, let’s crack into those shaded area models! If we say our area model has a total of 5 equal parts, shading two-thirds means we need to color in \( \frac{2}{3} \) of the model. Now, since \( \frac{2}{3} \) can be combined with shading \( \frac{1}{2} \) of the area, we will need to perform a little common denominator fun! The overlaps occur in the segments, and when multiplied out, it shows us how many equal splits we are covering together. Each part being \( \frac{1}{5} \) plays a crucial role in determining the overlapping sections!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy