Number System: Convert from Fractions to decimals

Convert Fractions to Decimals

The simplest method is to use a calculator.

Just divide the top of the fraction by the bottom, and read off the 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 manually, follow these steps:

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 1: Express 3/4 as a Decimal

Step 1: We can multiply 4 by 25 to become 100
Step 2: Multiply top and bottom by 25:

×25
3	=	75
4		100
×25

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

Answer = 0.75

Example 2: Express 3/16 as a Decimal

Step 1: We have to multiply 16 by 625 to become 10,000
Step 2: Multiply top and bottom by 625:

×625
3	=	1,875
16		10,000
×625

Step 3: Write down 1875 with the decimal point 4 spaces from the right (because 10,000 has 4 zeros);

Answer = 0.1875

Example 3: Express 1/3 as 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	=	333
3		999
×333

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

Answer = 0.333 (accurate to only 3 decimal places !!)

Posted in: Fractions, Fractions to Decimal, Number System