Question
upstudy study bank question image url

Write \( 3.6 \% \) as a decimal and as a fraction. decimal fraction

Ask by Chandler Mullins. in the United States
Mar 10,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

\( 3.6\% \) as a decimal is \( 0.036 \) and as a fraction is \( \frac{9}{250} \).

Solution

1. **Convert \( 3.6\% \) to a decimal:** - Recall that "percent" means "per hundred," hence: \[ 3.6\% = \frac{3.6}{100} \] - Dividing by 100 shifts the decimal point two places to the left: \[ \frac{3.6}{100} = 0.036 \] 2. **Convert \( 3.6\% \) (or \( 0.036 \)) to a fraction:** - Write \( 0.036 \) as a fraction: \[ 0.036 = \frac{36}{1000} \] - Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is \( 4 \): \[ \frac{36 \div 4}{1000 \div 4} = \frac{9}{250} \] **Answer:** - Decimal: \( 0.036 \) - Fraction: \( \frac{9}{250} \)

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Extra Insights

To convert \( 3.6 \% \) to a decimal, simply divide by 100. So, \( 3.6 \% = 3.6 \div 100 = 0.036 \). Easy peasy! For the fraction, take \( 3.6 \) and write it as \( \frac{36}{10} \) (since \( 3.6 \) has one decimal place). Now simplify it! Divide the numerator and denominator by 2 to get \( \frac{18}{5} \). Voilà!

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