Determining the Place Value of the Decimal
The first step in converting a decimal to a fraction is to determine the place value of the decimal. In the case of .8333, the decimal has four decimal places, which means it is in the ten thousandths place.
Key Facts
- Determine the place value of the decimal: In this case, .8333 has four decimal places, which means it is in the ten thousandths place.
- Write the decimal as a fraction: To do this, place the decimal number over 1. So, .8333 can be written as 0.8333/1.
- Multiply to remove the decimal: To eliminate the decimal, multiply both the numerator and denominator by a power of 10 that moves the decimal places to the right. In this case, we need to multiply by 10,000 because there are four decimal places. So, 0.8333/1 becomes 0.8333 * 10,000 / 1 * 10,000, which simplifies to 8333/10000.
- Simplify the fraction: If possible, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of 8333 and 10000 is 1. Therefore, the fraction 8333/10000 cannot be simplified further.
So, the decimal .8333 can be expressed as the fraction 8333/10000.
Writing the Decimal as a Fraction
To write a decimal as a fraction, place the decimal number over 1. So, .8333 can be written as 0.8333/1.
Multiplying to Remove the Decimal
To eliminate the decimal, multiply both the numerator and denominator by a power of 10 that moves the decimal places to the right. In this case, we need to multiply by 10,000 because there are four decimal places. So, 0.8333/1 becomes 0.8333 * 10,000 / 1 * 10,000, which simplifies to 8333/10000.
Simplifying the Fraction
If possible, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of 8333 and 10000 is 1. Therefore, the fraction 8333/10000 cannot be simplified further.
Conclusion
So, the decimal .8333 can be expressed as the fraction 8333/10000.
Sources
- How do you convert .8333 as a fraction? | Socratic
- How do you convert .8333 as a fraction ? – Toppr
- .8333 as a Fraction [Decimal to Fraction Calculator] – asafraction.net
FAQs
What is the place value of the decimal .8333?
The decimal .8333 is in the ten thousandths place.
How do I write .8333 as a fraction?
To write .8333 as a fraction, place the decimal number over 1. So, .8333 can be written as 0.8333/1.
How do I eliminate the decimal in 0.8333/1?
To eliminate the decimal, multiply both the numerator and denominator by a power of 10 that moves the decimal places to the right. In this case, we need to multiply by 10,000. So, 0.8333/1 becomes 0.8333 * 10,000 / 1 * 10,000, which simplifies to 8333/10000.
Can I simplify the fraction 8333/10000?
Yes, you can simplify the fraction 8333/10000 by dividing both the numerator and denominator by their greatest common divisor, which is 1. Therefore, the fraction 8333/10000 cannot be simplified further.
What is the decimal .8333 expressed as a fraction?
The decimal .8333 expressed as a fraction is 8333/10000.
How do I convert a decimal with two decimal places to a fraction?
To convert a decimal with two decimal places to a fraction, follow these steps:
1. Write the decimal as a fraction with 1 as the denominator.
2. Multiply both the numerator and denominator by 100.
3. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor.
How do I convert a decimal with three decimal places to a fraction?
To convert a decimal with three decimal places to a fraction, follow these steps:
1. Write the decimal as a fraction with 1 as the denominator.
2. Multiply both the numerator and denominator by 1000.
3. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor.
How do I convert a decimal with four decimal places to a fraction?
To convert a decimal with four decimal places to a fraction, follow these steps:
1. Write the decimal as a fraction with 1 as the denominator.
2. Multiply both the numerator and denominator by 10000.
3. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor.