Q:

What is 11/20 as a decimal?

A:

Quick Answer

The fraction 11/20 translates to 0.55 in decimal form. To convert a fraction to a decimal, simply divide the fraction's bottom number, or denominator, into its top number, or numerator.

Continue Reading

Full Answer

Fractions and decimals both are ways to represent numbers that are not whole numbers. Each fraction has an equivalent decimal representation, and every decimal can be converted into an equivalent fraction. To do this, one simply has to utilize common division.

Dividing the denominator into the numerator results in the equivalent fraction. Quite often, the answer continues for infinity. If this is the case, one simply has to choose a decimal place and round it off. For example, the fraction 2/3 is equivalent to 0.6666666 for infinity. An acceptable decimal for this answer rounded to the nearest hundredth is 0.67.

To change decimals into fractions, the steps are somewhat similar, yet reversed.

  • A person should Look at the decimal and determine what place it holds. For example, 0.625 is to the 1,000th decimal place.
  • Next, a person should place the decimal over one and then multiply by that decimal place number. The calculation for this example is 0.625/1 times 1,000/1,000.
  • Finally, a person should multiply the numbers across and reduce to find the final answer. This example results in 625/1,000. Reduced, the final answer is 5/8.

To double-check the answer, a person should use the reverse method of dividing the denominator into the numerator.

Learn more about Fractions & Percentages

Related Questions

  • Q:

    How is a fraction converted to a decimal?

    A:

    A fraction can be converted to its equivalent decimal by dividing its numerator by its denominator. For example, the fraction 3/4 can be converted to a decimal by dividing its numerator (3) by its denominator (4), which results in 0.75, its equivalent decimal. The fraction 5/8 can be similarly converted to a decimal by dividing 5 by 8, which results in 0.625.

    Full Answer >
  • Q:

    How do you solve percentages?

    A:

    A percentage is solved by transferring a percentage into a decimal or a fraction, or by transferring a decimal or fraction into a percentage. To transfer a percentage into a decimal, divide the percentage by 100. To transfer it into a fraction, multiply the fraction by 100.

    Full Answer >
  • Q:

    How do you turn a fraction into a decimal?

    A:

    Convert a fraction to a decimal by first converting mixed numbers to improper fractions and then dividing the numerator by the denominator. Round the answer to the appropriate number of significant figures. The time to complete the process depends on the student's math skills and the use of a calculator.

    Full Answer >
  • Q:

    How do you convert fractions to decimals?

    A:

    One method to manually convert a fraction to a decimal is to multiply the denominator, the bottom number, by a number that will make the denominator a factor of 10. Then multiply the numerator, the top number, by the same number used on the denominator. Rewrite the fraction as a decimal using place values.

    Full Answer >

Explore