Question
upstudy study bank question image url

strawberries for a recipe. He wants to find whether he needs more bananas or more strawberries. How can he write \( \frac{5}{6} \) and \( \frac{3}{4} \) as a pair of fractions with a common denominator? (4.NF.A.1)

Ask by Norton Chang. in the United States
Mar 14,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

To compare \(\frac{5}{6}\) and \(\frac{3}{4}\), find a common denominator, which is \(12\). \(\frac{5}{6} = \frac{10}{12}\) and \(\frac{3}{4} = \frac{9}{12}\).

Solution

1. Find the least common denominator (LCD) of \(6\) and \(4\). - The multiples of \(6\) are: \(6, 12, 18, \dots\) - The multiples of \(4\) are: \(4, 8, 12, \dots\) - The smallest common multiple is \(12\). 2. Write \(\frac{5}{6}\) with the denominator \(12\): - Multiply the numerator and denominator by \(2\) (since \(6 \times 2 = 12\)). - \(\frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12}\). 3. Write \(\frac{3}{4}\) with the denominator \(12\): - Multiply the numerator and denominator by \(3\) (since \(4 \times 3 = 12\)). - \(\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}\). Thus, the pair of fractions with a common denominator is \(\frac{10}{12}\) and \(\frac{9}{12}\).

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Bonus Knowledge

To find a common denominator for \( \frac{5}{6} \) and \( \frac{3}{4} \), he can first identify the least common multiple (LCM) of the denominators, which are 6 and 4. The LCM of 6 and 4 is 12. Now, he can convert both fractions to have a denominator of 12: - For \( \frac{5}{6} \): multiply the numerator and denominator by 2 to get \( \frac{10}{12} \). - For \( \frac{3}{4} \): multiply the numerator and denominator by 3 to get \( \frac{9}{12} \). Now he has \( \frac{10}{12} \) and \( \frac{9}{12} \) to compare! To make it even more fun, think of it this way: converting fractions is like preparing ingredients to bake a cake. You want everything to mix perfectly! Just like measuring out your strawberries and bananas, you’re making sure these fractions blend together nicely with a common denominator. Happy baking (and fraction making)!

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