0.875 as a Fraction: Simplified Answer

In mathematics, converting decimals into fractions is a fundamental skill that comes in handy in various equations and calculations. When it comes to the decimal 0.875, expressing it as a fraction provides a clearer representation of its value in terms of whole numbers.

Converting 0.875 to a Fraction:

To convert 0.875 to a fraction, it’s important to understand the place value of each digit in the decimal. In the number 0.875, the 8 is in the tenths place, the 7 is in the hundredths place, and the 5 is in the thousandths place.

Steps to Convert 0.875 to a Fraction:

1. Identify the Decimal Place Value: Recognize that the digit 8 is in the tenths place, 7 is in the hundredths place, and 5 is in the thousandths place.

2. Create the Numerator: The numerator is the decimal number without the decimal point. For 0.875, the numerator is 875.

3. Determine the Denominator: The denominator is based on the decimal place value. Since 875 has three digits after the decimal point, the denominator will have three zeroes (1000) to represent the thousandths place.

4. Simplify the Fraction: Divide both the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.

Putting it Together:

Following the steps above, the decimal 0.875 as a fraction is expressed as 875/1000. To simplify this fraction, we can divide both the numerator and denominator by 125, which yields 7/8. Therefore, the simplified form of 0.875 as a fraction is 7/8.

By converting decimals to fractions, mathematical operations involving these numbers become more manageable, helping in various calculations, comparisons, and problem-solving situations.

FAQs:

1. What is a decimal?

2. A decimal is a number expressed in the base-ten numerical system using the digits 0 to 9 and a decimal point to indicate the place value of each digit.

3. Why is it important to convert decimals to fractions?

4. Converting decimals to fractions helps provide a clearer representation of the numerical value in terms of whole numbers and aids in simplifying calculations.

5. How do you convert a decimal to a fraction?

6. To convert a decimal to a fraction, identify the place value of the decimal, create the numerator from the decimal number, and determine the denominator based on the decimal place value.

7. What is the simplest form of a fraction?

8. The simplest form of a fraction, also known as the reduced form, is when the numerator and denominator have no common factors other than 1.

9. Can all decimals be converted to fractions?

10. Yes, all terminating decimals (decimals that end) can be converted to fractions. However, repeating decimals (decimals that have a recurring pattern) are expressed differently as fractions.

In conclusion, converting 0.875 to a fraction as 7/8 provides a more precise and understandable representation of this decimal number. This process of conversion aids in various mathematical calculations and enhances the understanding of numerical values in different forms.