Write 0.8 as a simplified fraction and a percentage.

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Respuesta rápida

\(\frac { 4} { 5} \) and 80%.

Solución paso a paso

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!

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