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How to Convert a Fraction to Decimal ?

Fraction to Decimal conversion is done by several ways like- division, multiplication and using a calculator. Division is one of the simplest way to convert a fraction to a decimal, In this method we divide the numerator by the denominator. In this method we simply divide the top number (numerator) by the bottom number (denominator) and get the result in fraction.Fraction to Decimal

For example, if the fraction is 3/4, the decimal equivalent would be 0.75 (3 divided by 4).

To convert the fraction 1/3, divide 1 by 3 to get 0.3333… (Repeating decimal).

Multiplication Method:

Multiplication is another way to convert a fraction to a decimal and is done by multiplying the numerator by a power of 10, in such a way that the denominator becomes a whole number.

For Example:  To convert the fraction 3/4 to a decimal using the multiplication method, we can multiply the numerator (3) by a power of 10, such as 10, 100, or 1000, in order to make the denominator (4) a whole number.

For example, if we multiply the numerator by 100, we get 300, and dividing 300 by 4 gives us 75, which is the decimal equivalent of the fraction 3/4.
So, 3/4 = 0.75

Repeating decimal: Some fractions have a repeating decimal representation. For example, 1/3 can be converted to decimal of 0.3333333.., where the 3’s repeat indefinitely.

Using a Calculator:

You can also use a calculator to convert a fraction to a decimal by simply entering the numerator and denominator. And here we have developed a simple calculator, You need to enter numerator and denominator only, rest of the job is done automatically.

Why we do Fraction to Decimal Conversion?

Ease of use:  Decimals are a more familiar and widely used number format and easier to work with and understand. After converting a fraction to decimal, comparison and manipulation of the numbers becomes easier.

Precision and Accuracy: Decimals provide more precision and accuracy than fractions, After decimal points, they have infinite number of digits. And this is important in the fields like- engineering or scientific research where accuracy and precision is required.

Simplifying the calculation: Some calculations are easier to perform in decimal form, thus converting fraction to decimal can simplify the process.

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