Example 1
WITH ALGORITHM

3.6 -> to fraction

• 1.write all digits: 36
• 2.draw the fraction sign: 36/
• 3. put a 1 below: 36/1
• 4. put as many "zeros" as digits after the point: 36/10

Example 2

(no more wording)

• 4.67 -> to fraction
• 1. 467
• 2. 467/
• 3. 467/1
• 4. 467/100

Example 3

Now we deal with repeating decimals
WITH ALGORITHM

3.5 (5 repeating) -> to fraction

• 1. Write all digits: 35
• 2. Subtract the digits on the left-hand side of the repeating part (here there is a "3"): 35 - 3=32
• 3. Write the fraction side 32/
• 4. Put below as many number "9" as the number of repeating digits (here is 5 repeating just once, so I write only one "9": 32/9
• 5.Put as many zero after the nine(s) as many digits after the dot but before the repeating part (here the 5 is not preceded by any other numbers so I leave it untouched.
• 6. the result is 3.5 = 32/9

Example 4.

A more complex example with repeating decimals

0.43 (3 repeating) -> to fraction

• 1. 43
• 2. 43 - 4 = 39
• 3. 39/
• 4. 39/9
• 5. 39/90

Example 5.

Again with repeating decimals

13.423 (23 repeating) -> to fraction

• 1. 13423
• 2. 13423 - 134 =13289
• 3. 13289/
• 4. 13289/99
• 5. 13289/990