Garrett Coles
03/01/2024 · Junior High School

Write 0.8 as a simplified fraction and a percentage.

Real Tutor Solution

Tutor-Verified Answer

Quick Answer

\(\frac { 4} { 5} \) and 80%.

Step-by-step Solution

1. As a Fraction: 
- 0.8 can be written as \(\frac { 8} { 10} \)
- Simplify \(\frac { 8} { 10} \) by dividing both the numerator and the denominator by their greatest common divisor, which is 2:  
\[\frac { 8 \div 2} { 10 \div 2} = \frac { 4} { 5} \]

2. As a Percentage: 
- To convert 0.8 to a percentage, multiply by 100: 
\[0.8 \times 100 = 80\% \]

 

Supplemental Knowledge:

Converting a decimal to a fraction and a percentage involves understanding the relationship between these forms of numbers.

1. Converting 0.8 to a Fraction: 
- Write 0.8 as \(\frac { 8} { 10} \)
- Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2: 
\[\frac { 8} { 10} = \frac { 8 ÷ 2} { 10 ÷ 2} = \frac { 4} { 5} \]

So, 0.8 as a simplified fraction is \(\frac { 4} { 5} \).

2. Converting 0.8 to a Percentage: 
- To convert a decimal to a percentage, multiply by 100: 
\[0.8 × 100 = 80\% \]

So, 0.8 as a percentage is 80%.

 

From Concepts to Reality:

Understanding how to convert between decimals, fractions, and percentages is useful in many everyday situations, such as calculating discounts while shopping, understanding statistics in reports, or adjusting recipes in cooking.


For quick and accurate conversions between decimals, fractions, and percentages, try UpStudy’s Fraction Calculator! This tool simplifies these conversions with ease. Enhance your mathematical skills with UpStudy's comprehensive resources today!

Reviewed and approved by the UpStudy tutoring team
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text

Enter your question here…

By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
📸 STUDY CAN BE A REAL STRUGGLE
Why Not UpStudy It?
Select your plan below
Premium

You can enjoy

  • 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
  • Limited Solutions