Question
upstudy study bank question image url

1. \( \frac{6}{8} \times \frac{3}{12}= \)

Ask by Dunn Alexander. in the United States
Feb 27,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The answer is \( \frac{3}{16} \).

Solution

To solve the problem, we need to multiply the fractions:   (6/8) × (3/12) Step 1: Multiply the numerators together and the denominators together:   6 × 3 = 18,   8 × 12 = 96, so we have 18/96. Step 2: Simplify the fraction 18/96 by finding the greatest common divisor (GCD) of 18 and 96, which is 6:   Divide numerator and denominator by 6:   18 ÷ 6 = 3,   96 ÷ 6 = 16. Thus, 18/96 simplifies to 3/16. Final Answer: 3/16

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Beyond the Answer

To simplify the multiplication of fractions, you can multiply the numerators together and the denominators together. Here, \( \frac{6}{8} \times \frac{3}{12} = \frac{6 \times 3}{8 \times 12} = \frac{18}{96} \). Now, simplify \( \frac{18}{96} \) by finding the greatest common divisor, which is 18. Dividing both the numerator and denominator by 18, you get \( \frac{1}{5.33} \), which simplifies further to \( \frac{3}{16} \). Remember, simplifying fractions can make calculations easier! Instead of multiplying first, try simplifying fractions individually. For example, \( \frac{6}{8} \) can be reduced to \( \frac{3}{4} \) and \( \frac{3}{12} \) can be simplified to \( \frac{1}{4} \). Then, when you multiply those, you get \( \frac{3}{4} \times \frac{1}{4} = \frac{3}{16} \) right from the start!

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