2.86 as a fraction
Understand the Problem
The question is asking how to convert the decimal number 2.86 into a fraction. To solve this, we will express 2.86 as a fraction by identifying the place value of the decimal and simplifying it if necessary.
Answer
The decimal 2.86 as a fraction is $\frac{143}{50}$.
Answer for screen readers
The decimal number 2.86 can be expressed as the fraction $\frac{143}{50}$.
Steps to Solve
- Express the Decimal as a Fraction
First, write the decimal number as a fraction. Since 2.86 has two decimal places, we can express it as: $$ \frac{286}{100} $$ This is because the decimal place moves two places to the right, creating the fraction with 100 as the denominator.
- Simplify the Fraction
Next, we need to simplify the fraction. We find the greatest common divisor (GCD) of the numerator (286) and the denominator (100). The GCD of 286 and 100 is 2.
- Divide Numerator and Denominator by GCD
Now, divide both the numerator and the denominator by their GCD: $$ \frac{286 \div 2}{100 \div 2} = \frac{143}{50} $$ This is the simplified form of the fraction.
The decimal number 2.86 can be expressed as the fraction $\frac{143}{50}$.
More Information
Converting decimal numbers to fractions is commonly used in mathematics, especially for expressing measurements, performing operations, and simplifying numerical expressions.
Tips
- A common mistake is forgetting to simplify the fraction after converting from decimal to fraction. Always check to find the GCD and reduce the fraction.
