What is 0.3125 as a Fraction? Find Your Answer

If you want to simplify the decimal 0.3125 as a fraction with accuracy, you are on the right page. Here, is the systematic approach to help you in this conversion.

However, if you want a more advanced tool for detailed analysis, you can refer to decimal to fraction calculator.

Step 1: Express the 0.3125 Decimal as a Fraction

At first, represent the decimal in fraction form, by writing 1 below the decimal number.

0.3125 = \frac{0.3125}{1}​

Step 2: Remove the Decimal Point

To eliminate the decimal point, multiply the numerator and denominator by 10 to power the number of decimal places. Since 0.3125 has four decimal places, multiply by 10⁴=10,000:

\frac{0.3125 \times 10,000}{1 \times 10,000} = \frac{3,125}{10,000}

Step 3: Simplify the Fraction

Next work is to calculate the Greatest Common Divisor (GCD) of the numerator and the denominator to simplify the existing fraction. Here, are its factors:

• Factors of 3,125: 1, 5, 25, 125, 625, 3,125
• Factors of 10,000: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1,000, 1,250, 2,000, 2,500, 5,000, 10,000

The common factors are 1, 5, 25, 125, and 625. We choose 625 as the GCD.

Divide both the numerator and the denominator by their GCD:

\frac{3,125 \div 625}{10,000 \div 625} = \frac{5}{16}​

Thus, we come to the resultant fraction in its simplest form:

0.3125 = \frac{5}{16}

Verification

To make sure, you have got the right conversion result, divide the numerator by the denominator:

\frac{5}{16} = 0.3125

Thus, now, you can be assured that the fraction is correct.

Alternative Method: Using Place Value for 0.3125

Another effective approach is using the place value for 0.3125 decimal:

As we have already discussed, 0.3125 has four decimal places that is equal to ten-thousandths.

Therefore:

0.3125 = \frac{3,125}{10,000}​

Simplifying as before:

\frac{3,125 \div 625}{10,000 \div 625} = \frac{5}{16}

Final Answer

At the end, the answer on converting 0.3125 to a fraction is \frac{5}{16}. This is the most simplest form in which we have done the conversion, making the numerator and denominator common factor share as 1.