# Converting Fractions to Decimals: Easy Methods

Converting fractions to decimals in maths need not be a complicated task. It simply takes practice using basic steps to learn the process. The use mixed numbers which combine whole numbers is very practical for everyday situations and problem-solving, such as in cooking, home building projects, and in finances.

Fractions allow us to solve and indicate complicated problems including non-integer quantities in algebraic equations. Just as you can use a dictionary to switch between languages you can find online tools to convert fractions to decimals and check your work.

In this blog post, we will discuss the visions of mixed numbers, and introduce the benefits of operating a fraction calculator online along with the conversion of fractions into decimals by utilizing a lot of easy methods.

## What is a Fraction?

A numeric that is not a whole number is referred to as a fraction. Fractions are used to recognize a quotient that differs in two portions including a numerator and a denominator. In any complex function, the denominator is always greater than the numerator and is indicated by the fraction.

## Ways To Convert Fractional Terms Into Decimals:

If you want to do calculations by the division of numerator with denominator we can get the answers by converting fractions into decimals easily. With the given below methods, we can do addition, subtraction, multiplication, and division in a very short time. So, follow the below given methods.

### Method 1: Simplifying The Fraction

In this method, there is a need to follow a couple of steps in which to calculate the greatest common factor of the numerator and denominator of the given terms. After this step divide the numerator and denominator by the GCD. This process helps you to simplify the process easier to simplify terms by changing them into decimals.

For example, let’s convert the fraction 15/20 to a decimal using this method.

• Find the GCD of 15 and 20. The GCD is 5.
• Divide both the numerator and denominator of the fraction by 5. This gives us 3/4.
• Convert 3/4 to a decimal by dividing 3 by 4. This gives us 0.75.

### Method 2: Dividing The Numerator By Denominator

Same to other methods in this you need to divide the numerator of fractions by the denominator. This is able to be considered that the division will continue if the numerator of a given set is not divisible by the denominator until the quotient is a decimal.

For example, let’s convert the fraction 7/8 to a decimal using this method.

• Divide 7 by 8. This gives us 0.875.

### Method 3: Recurring Decimals into Infinite:

This is the method for changing recurring decimals into fractional terms. This is based on the idea that is equivalent to a geometric series.

For example, let us consider 1/3 or 5/6. In this case, the results are given in the form of recurring fractions that repeat limitlessly.

• This looks like 0.333… or 0.833…

## Steps To Use Handy Tool for Quick Solutions:

We will debate here how to manipulate a fraction calculator to compute problems of fractions within very little time because fractions are used to confirm the part of a group of objects or a whole. To obtain the terms of fractions there is a very simple process as follows:

• First of all, choose the values that you want to evaluate.
• Put the values in fraction form and set their symbols.

#### Final Results:

•  Showcase of Fractions or Decimals: The tool will show the form in which the user will save either in decimal or fraction.
• Mixed Numbers: Certain problems are shown to us in a more intuitive representation and provided to us and the answers to the user are received in the mixed form.
• Reduced Fractions: Answers can be acquired in simplified form, clarity is guaranteed in the assignments and the chance of errors is reduced.

### A Table of Common Fraction Conversions Into Decimals:

With the help of modern technology mixed numbers are attainable and apparent for individuals who can be students or professionals. Solve the problems of maths consisting of fractions is a complicated task but you can be made easy by looking at the below table:

 64th 32nd 16th 8th 4th 2nd Decimal Decimal (inch to mm) 1/64 0.015625 0.396875 2/64 1/32 0.03125 0.79375 3/64 0.046875 1.190625 4/64 2/32 1/16 0.0625 1.5875 5/64 0.078125 1.984375 6/64 3/32 0.09375 2.38125 7/64 0.109375 2.778125 8/64 4/32 2/16 1/8 0.125 3.175 9/64 0.140625 3.571875 10/64 5/32 0.15625 3.96875 11/64 0.171875 4.365625 12/64 6/32 3/16 0.1875 4.7625 13/64 0.203125 5.159375 14/64 7/32 0.21875 5.55625 15/64 0.234375 5.953125 16/64 8/32 4/16 2/8 1/4 0.25 6.35 17/64 0.265625 6.746875 18/64 9/32 0.28125 7.14375 19/64 0.296875 7.540625 20/64 10/32 5/16 0.3125 7.9375 21/64 0.328125 8.334375 22/64 11/32 0.34375 8.73125 23/64 0.359375 9.128125 24/64 12/32 6/16 3/8 0.375 9.525 25/64 0.390625 9.921875 26/64 13/32 0.40625 10.31875 27/64 0.421875 10.715625 28/64 14/32 7/16 0.4375 11.1125 29/64 0.453125 11.509375 30/64 15/32 0.46875 11.90625 31/64 0.484375 12.303125 32/64 16/32 8/16 4/8 2/4 1/2 0.5 12.7 33/64 0.515625 13.096875 34/64 17/32 0.53125 13.49375 35/64 0.546875 13.890625 36/64 18/32 9/16 0.5625 14.2875 37/64 0.578125 14.684375 38/64 19/32 0.59375 15.08125 39/64 0.609375 15.478125 40/64 20/32 10/16 5/8 0.625 15.875 41/64 0.640625 16.271875 42/64 21/32 0.65625 16.66875 43/64 0.671875 17.065625 44/64 22/32 11/16 0.6875 17.4625 45/64 0.703125 17.859375 46/64 23/32 0.71875 18.25625 47/64 0.734375 18.653125 48/64 24/32 12/16 6/8 3/4 0.75 19.05 49/64 0.765625 19.446875 50/64 25/32 0.78125 19.84375 51/64 0.796875 20.240625 52/64 26/32 13/16 0.8125 20.6375 53/64 0.828125 21.034375 54/64 27/32 0.84375 21.43125 55/64 0.859375 21.828125 56/64 28/32 14/16 7/8 0.875 22.225 57/64 0.890625 22.621875 58/64 29/32 0.90625 23.01875 59/64 0.921875 23.415625 60/64 30/32 15/16 0.9375 23.8125 61/64 0.953125 24.209375 62/64 31/32 0.96875 24.60625 63/64 0.984375 25.003125 64/64 32/32 16/16 8/8 4/4 2/2 1 25.4

## Conclusion:

To solve problems, algebraic equations are generally building blocks of maths. In the solutions and formation of algebraic equations, fractions play a crucial role in the realm of algebra. The conversion of fractions to decimals allows you to express parts of a given mathematical term in various ways into the whole number. Regardless of these methods, another solution to simplify your problems is to utilize the fraction calculator. This skill is essential for calculations and comparisons, making you a math maestro!