Simple Methods to Convert Numbers Into Fraction Form

 Learning how to convert Numbers to Fraction is a skill that is useful in math, science, and finance, as well as in the solving of problems in everyday life. It could be that you are making a measurement simple, decimals, or ratios, but understanding how to represent the values asfraction can help you to see calculations in a clearer and more accurate way. However, luckily, it is easy and easy to apply simple and reliable procedures that turn any number, be it a decimal number or a mixed number or a repeating number, into a proper fraction.

Some of the simplest techniques that you can apply, examples and tips of the process practice are described below. You may even draw the graph using graph paper that is free and may be edited online (you can use printgraphpaper to simply draw and visualize your conversions with a hand).

1. Representing Terminating Decimals as Fractions.

Terminating decimals refer to the decimals that have an ending like 0.5, 3.25 or 0.875. These are most likely to be reduced to a fraction form.

Steps:

Write the decimal without digits (e.g. 0.5→ 5).

Divide it by an amount of 10 on the amount of decimal positions.

One decimal place → 10

Two decimal places → 100

Three decimal places → 1000

Simplify the resultant fraction.

Example:

0.25

→ Write as 25/100

→ Simplify by dividing numerator and denominator by 25.

→ Final answer: 1/4

This simple trick will assist you in converting simple Numbers into Fractions within a very short period of time.

2. Fractions Fractions Fractions are described as the ratios of measurements expressed as fractions, for example, 1/2, 2/3.

Repeating decimals are those decimals where there is a repeat of the digits at the end, e.g. 0.3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 These asfraction can be converted only with a brief algebraic deception.

problem: Find the fraction of 0.777.

Let x = 0.777…

Multiply both sides by 10: 10x = 7.777…

Minus the original equation: 10x -x = 7.777… -0.777…

This gives 9x = 7, so:

x = 7/9

This process will work with any repetitive decimal. When using graph paper that can be edited on the Internet free of charge, one will be able to organize his/her work and keep his/her steps in a certain order.

3. Working with Mixed Numbers to Improper Fractions.

One can easily figure out mixed numbers such as 41/2 or 21/3 as improper fractions.

Steps:

Multiplication of the entire number into fraction.

Add the numerator.

Divide that sum by the initial denominator.

Example:

Convert 3 1/5

→ (3 × 5) + 1 = 16

→ Write as 16/5

The method is particularly useful in cases when carrying out multiplication or division involving mixed numbers.

4. Fractions into Proper and Simplified Fractions.

In other cases, the numbers are already in fraction form but require to be simplified.

Steps:

Determine the greatest common divisor (GCD) of the denominator and numerator.

Divide both by the GCD.

Example:

Simplify 18/24

→ GCD of 18 and 24 = 6

→ 18 ÷ 6 = 3

→ 24 ÷ 6 = 4

→ Final simplified fraction = 3/4

These steps can be practiced on printable math sheets which can be accessed in sites such as printgraphpaper so that orderliness is maintained in reduction of fractions.

5. Place Value Decimals Large or Complex Division.

Not all of the decimals are obviously simple, yet can be reduced to the disappearance of the decimal, through multiplication.

Example:

0.0048

× times 10,000 numerator and denominator.

→ 0.0048 × 10,000 = 48

→ Fraction becomes 48/10,000

→→→→→ testim Get 6/1250 or more.

6. Practice Tools & Tips

Online free graph paper that can be edited with graph paper can be used to trace the steps in learning. The grid format keeps the numbers in place avoiding errors during the long division or multiplication of a decimal number. Printable sheets on websites of printgraph paper can also be used to practice off-line.