Fraction to Decimal Calculator
Fraction to Decimal calculator is used to express the given fraction into its corresponding decimal form. Numbers that are represented in the form of p/q are known as fractions, where q is not equal to 0.
What is Fraction to Decimal Calculator?
Fraction to Decimal calculator converts a fractional number to its decimal value. A decimal number is used to represent a whole part and a fractional part together. To use the Fraction to Decimal Calculator, enter the values of the numerator and the denominator in the given input boxes.
Fraction to Decimal Calculator
How to Use Fraction to Decimal Calculator?
Follow these steps below for converting a fraction to a decimal number using the online Fraction to Decimal Calculator:
- Step 1: Go to Cuemath's online Fraction to Decimal Calculator.
- Step 2: Enter the numerator and denominator in the respective input boxes.
- Step 3: Click on the “Simplify” button to find the decimal value of the fraction entered.
- Step 4: Click on the "Reset" button to clear the fields and enter the new values
How Does Fraction to Decimal Calculator Work?
Fractions and decimals are different ways of representing numbers. There are two methods to convert a fraction to a decimal. These are given as follows:
- The numerator of the fraction acts as the dividend.
- The denominator of the fraction acts as the divisor.
- We divide the numerator by the denominator using long division.
- The quotient obtained will be the decimal form of the given fraction.
- If the remainder is 0, the decimal form of the fraction will be terminating.
- Suppose the remainder is not equal to 0. This implies that a digit or a group of digits in the quotient is repeating and non-terminating. A bar over the digit (or digits) is used to indicate non-terminating values.
2. Converting the denominator
- We multiply the denominator of the fraction by a number that converts the denominator into a power of 10. Let the power be denoted by n.
- The numerator is multiplied by the same number.
- Shift the decimal point n places to the left, starting from the last digit of the number.
- This converts the fraction into a decimal.
Solved Examples on Fraction to Decimal calculator
Example 1:
Convert 3/8 into its decimal form and verify the result using the online fraction to decimal calculator.
Solution:
3/8 can be converted to its decimal form by dividing 3 by 8 as shown below:
Therefore, 3/8 is converted and written as 0.375.
Example 2:
Convert 7/12 into its decimal form and verify the result using the online fraction to decimal calculator.
Solution:
Therefore, 7/12 is converted and written as \(0.58\bar{3}\).
Now, you can use the fraction to decimal calculator and find the decimal forms of the given fractions.
- 11/5
- 9/25