Divide the top of the fraction by the bottom, and you have your answer!
Example: What is 5/8 as a decimal ... ?
... get your calculator and type in "5 / 8 ="
The answer should be 0.625
To convert a Fraction to a Decimal by hand, use the following 3 step process:
Step 1: Find a number you can multiply by the bottom of the fraction to make it 10,
or 100, or 1000, or any 1 followed by 0s.
Step 2: Multiply both top and bottom by that number.
Step 3. Then write down just the top number, putting the decimal point in the correct spot (one space from the right hand side for every zero in the bottom number)
Example: Convert 2/4 to a Decimal
Step 1: We can multiply 4 by 25 to become 100
Step 2: Multiply top and bottom by 25:
Step 3: Write down 50 with the decimal point 2 spaces from the right (because 100
has 2 zeros);
Answer = 0.50
To convert a Decimal to a Fraction follow these steps:
Step 1: Write down the decimal divided by 1, like this: decimal/1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
Step 3: Simplify (or reduce) the fraction
Example: Convert 0.75 to a fraction
Step 1: Write down 0.75 divided by 1:
Step 2: Multiply both top and bottom by 100 (there are 2 digits after the decimal point so that is 10×10=100):
(Do you see how it turns the top number into a whole number?)
Step 3: Simplify the fraction (this took me two steps):
Answer = 3/4
Note: 75/100 is called a decimal fraction and 3/4 is called a common fraction!
If you are a software programmer, you no doubt have run across the need to
convert decimals to binary numbers. Paired representation is critical in software
engineering subsequent to all qualities put away inside of a PC exist as a string of
twofold digits, a series of 0s and 1s. Without the capacity to change over forward
and backward between normal representations and paired numbers, we would
need to collaborate with PCs in extremely cumbersome ways.
Whole number qualities are regular information things. They are utilized as a part of PC projects and calculation constantly. We find out about them in math class and obviously speak to them utilizing the decimal number framework, or base 10. The decimal number 23310 and its comparing parallel identical 111010012 are deciphered separately as
Be that as it may, in what capacity would we be able to effectively change over whole number qualities into double numbers? The answer is a calculation called "Divide by 2" that uses a stack to stay informed regarding the digits for the parallel result.
The Divide by 2 calculation accepts that we begin with a whole number more prominent than 0. A basic emphasis then constantly separates the decimal number by 2 and stays informed regarding the rest of. The principal division by 2 gives data with reference to whether the worth is even or odd. An even esteem will have a rest of 0. It will have the digit 0 in the ones spot. An odd worth will have a rest of 1 and will have the digit 1 in the ones spot. You must think about building the binary number as a sequence of digits; the first remainder we compute will become the last in the sequence.