Question
upstudy study bank question image url

11. Which pairs of fractions are equivalent to \( \frac{2}{3} \) and \( \frac{5}{6} \) ? \begin{tabular}{l|c|c|}\hline\( \frac{12}{18} \) and \( \frac{15}{18} \) & \( \frac{8}{12} \) and \( \frac{11}{12} \) & \( \frac{16}{24} \) and \( \frac{20}{24} \)\end{tabular}

Ask by Schultz Mathis. in the United States
Jan 24,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

Las parejas de fracciones equivalentes son: - \( \frac{12}{18} \) y \( \frac{15}{18} \) - \( \frac{16}{24} \) y \( \frac{20}{24} \)

Solution

Las siguientes parejas de fracciones son equivalentes a \( \frac{2}{3} \) y \( \frac{5}{6} \): - \( \frac{12}{18} \) y \( \frac{15}{18} \) - \( \frac{16}{24} \) y \( \frac{20}{24} \) **Explicación:** 1. **\( \frac{12}{18} \) y \( \frac{15}{18} \):** - \( \frac{12}{18} \) simplifica a \( \frac{2}{3} \) (dividiendo numerador y denominador por 6). - \( \frac{15}{18} \) simplifica a \( \frac{5}{6} \) (dividiendo numerador y denominador por 3). 2. **\( \frac{8}{12} \) y \( \frac{11}{12} \):** - \( \frac{8}{12} \) simplifica a \( \frac{2}{3} \). - \( \frac{11}{12} \) no es equivalente a \( \frac{5}{6} \). 3. **\( \frac{16}{24} \) y \( \frac{20}{24} \):** - \( \frac{16}{24} \) simplifica a \( \frac{2}{3} \) (dividiendo numerador y denominador por 8). - \( \frac{20}{24} \) simplifica a \( \frac{5}{6} \) (dividiendo numerador y denominador por 4). Por lo tanto, las parejas correctas son la primera y la tercera.

Reviewed and approved by the UpStudy tutoring team

error msg
Explain
Simplify this solution

Extra Insights

To find fractions equivalent to \( \frac{2}{3} \) and \( \frac{5}{6} \), we can simplify or scale the fractions in the pairs given. - The fraction \( \frac{12}{18} \) simplifies to \( \frac{2}{3} \) (by dividing the numerator and denominator by 6), but \( \frac{15}{18} \) does not equal \( \frac{5}{6} \) (it simplifies to \( \frac{5}{6} \)), making this pair a match! - The second pair, \( \frac{8}{12} \) simplifies to \( \frac{2}{3} \), but \( \frac{11}{12} \) does not simplify to \( \frac{5}{6} \). - The last pair includes \( \frac{16}{24} \) which simplifies to \( \frac{2}{3} \), and \( \frac{20}{24} \) simplifies to \( \frac{5}{6} \). Therefore, the pairs \( \frac{12}{18} \) and \( \frac{15}{18} \), and \( \frac{16}{24} \) and \( \frac{20}{24} \) are equivalent to \( \frac{2}{3} \) and \( \frac{5}{6} \) respectively! These equivalent fractions showcase the beauty of mathematical relationships, and it's fascinating how many forms the same value can take!

Latest Arithmetic Questions

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