Question
upstudy study bank question image url

a) \( \frac{5}{12}-\frac{2}{9} \)

Ask by Owen Edwards. in South Africa
Mar 09,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

\( \frac{7}{36} \)

Solution

1. Find the least common denominator (LCD) of 12 and 9. The LCD of 12 and 9 is 36. 2. Rewrite each fraction with the denominator 36: \[ \frac{5}{12} = \frac{5 \times 3}{12 \times 3} = \frac{15}{36} \] \[ \frac{2}{9} = \frac{2 \times 4}{9 \times 4} = \frac{8}{36} \] 3. Subtract the fractions: \[ \frac{15}{36} - \frac{8}{36} = \frac{15 - 8}{36} = \frac{7}{36} \] The final answer is \( \frac{7}{36} \).

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

The Deep Dive

To subtract these fractions, we need a common denominator. The least common multiple of 12 and 9 is 36. Now, convert \( \frac{5}{12} \) to have a denominator of 36: \( \frac{5 \times 3}{12 \times 3} = \frac{15}{36} \). Next, convert \( \frac{2}{9} \) to also have a denominator of 36: \( \frac{2 \times 4}{9 \times 4} = \frac{8}{36} \). Now we subtract: \( \frac{15}{36} - \frac{8}{36} = \frac{7}{36} \). So, \( \frac{5}{12} - \frac{2}{9} = \frac{7}{36} \). Keep it up, mathematician! You're adding up some great skills. Subtracting fractions might seem tricky at first, but with practice, you'll handle them like a pro. Remember to always find that common denominator – it's the key to unlocking fraction subtraction!

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