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 fraction? |
| ... 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 place in the correct spot (one space
from the right for every zero in the bottom number) |
Example 1: Express 3/4 as a Decimal
Step 1: We can mulitply 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 place 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 mulitply 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 place 4 spaces from the right (because 10,000 has 4 zeros);
Answer = 0.1875
Example 2: Express 1/3 as a Decimal
Step 1: There is no way to multiply 3 to become 10 or 100 or any power of 10, 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 place 3 spaces from the right (because 1,000 has 3 zeros):
Answer = 0.333 (accurate to only 3 decimal places !!)
|