Convert Decimal to Fraction
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• Step 1) Count the number of decimal places the decimal has.
• Step 2) Put a 1 and the number of zeros that there are decimal places for the denominator of the fraction. If you have 2 decimal places, the denominator would be 100. If you have 4 decimal places, the denominator would be 10000.
• Step 3) The decimal digits now become the numerator.
• Step 4) Optional - you can reduce this fraction to its simplest form.

Example 1) Convert 0.815 to a fraction.

The number of decimal places is 3, so the denominator will be 1000 and the numerator will be 815.

The decimal fraction will be: \[ {815 \over 1000} \]

To find the simplest form, divide the numerator and denominator by 5.

\[ {815 \over 1000} = {815 ÷ 5 \over 1000 ÷ 5} = {163 \over 200} \]

Final answer: \[ 0.815 \; = \; {163 \over 200 } \]

Example 2) Convert 2.36 to a mixed fraction.

The decimal part is 0.36. The number of decimal places is 2. The denominator will be 100. The numerator will be 36.

The fraction will be: \[ {36 \over 100}\]

To simplify the fraction, divide the numerator and denominator by 4.

This gives us: \[ {36 \over 100} = {36 ÷ 4 \over 100 ÷ 4} = {9 \over 25} \]

Our final answer is: \[ 2.36 \; = \; 2 {9 \over 25} \]

Example 3) Convert 1.45 to an improper fraction.

The decimal part is 0.45. The number of decimal places is 2. The denominator will be 100. The numerator will be 145.

So the improper fraction will be: \[ {145 \over 100} \]

To simplify the fraction, divide the numerator and denominator by 5.

This gives us: \[ {145 \over 100} = {145 ÷ 5 \over 100 ÷ 5} = {29 \over 20} \]

Our final answer is: \[ 1.45 \; = \; {29 \over 20} \]