Fraction to decimal

In mathematics one of the basic concepts is fractions and decimal. Before yawning about the conversion of the fraction to decimal we need to know what fraction and decimal are.

Fractions are a numerical sum that is not a whole number. There are three types of fractions namely proper fractions, improper fractions, and mixed fractions.

Decimals denote to set up of numbers and arithmetic based on the number ten, tenth parts and powers of ten.

Moving towards our main topic conversion of fractions to decimal we need to keep in mind some of the following steps:

Step 1: Take a number and multiply it by the bottom of the fraction to make it 10, 100, 1000 or

10000 or any 1 which is followed by 0s.

Step 2: Multiply both top and bottom by that particular number in the given example.

Step 3: Now you have to write just the top number and put the decimal point to the correct place.

Some more points we need to ponder while solving fraction to decimal conversion.

Fractions and decimal numbers are two different ways of representing numbers which are less than one. A number which is less than one can be represented in both the forms either decimal or fraction. A fraction consists of three parts numerator, slash, and denominator. The denominate represents how many equal parts are there in whole.

For example, a cake can be cut into 8 pieces so the denominator will be 8 and if we cut the same cake into 12 pieces then it’s denominator will be 12. The numerator a part or parts of the whole substance. One piece of the whole cake would be represented by the numerator by “1”. Decimals do not represent as slash; they are represented by decimal numbers to the left of the numbers. The easiest way of converting fraction to a decimal number is by division problem. 

For example, the fraction 3/4, divide 3 by 4

                          ¾ becomes 0.75

                           The fraction 15/8, divide 15 by 8

15/8 becomes 1.875

Example: Convert ¾ to a decimal

Step 1: we can multiply 4 by 25 to become 100

Step 2: Multiply top and bottom by 25:

                    *25 

               ¾ = 75/100

                   *25

Step 3: Write down 75 with the decimal point 2spaces from the right (because 100 has 2 zeros);

               Simplified = 0.75

Example: Convert 1/3 to a decimal

Step 1: There is no way to multiply 3 to become 10 or 100 or any “1 followed by 0s “, but         we can calculate an approximate decimal by choosing to multiply by, say, 333

                Step 2: Multiply top and bottom by 333

                                  *333

                          1/3 = 333/999

                                 *333

              Step 3: Now, 999 is nearly 1,000, so let us write down 333 with decimal point 3 spaces from the right (because 1,000 has 3 zeros):

                        Simplified = 0.333(accurate to only 3 decimal places)

The following steps and examples will help you to understand the conversion of fractions to decimal in more appropriate and easy way.