What is 0.33 as a Fraction?

The fraction equivalent of 0.33 is \(\frac{33}{100}\)

Step-by-Step Solution

Step 1: Identify the decimal number

We want to convert the decimal 0.33 to a fraction.

Step 2: Write as a fraction with 1 as the denominator

First, we write 0.33 as a fraction with 1 as the denominator:

\(0.33 = \frac{0.33}{1}\)

Step 3: Count the decimal places

The decimal 0.33 has 2 decimal places.

Step 4: Multiply to remove the decimal point

We multiply both the numerator and denominator by 10² to remove the decimal point:

\(\frac{0.33}{1} \times \frac{100}{100} = \frac{33}{100}\)

Step 5: Check if the fraction can be simplified

The fraction \(\frac{33}{100}\) is already in its simplest form because 33 and 100 have no common factors other than 1.

Final Answer

The decimal 0.33 as a fraction is \(\frac{33}{100}\)

Try Another Conversion

Understanding Decimal to Fraction Conversion

What are Decimals?

Decimals are a way of writing numbers that aren't whole numbers. They use a decimal point to separate the whole number part from the fractional part. For example, in 0.33, the whole number part is 0 and the decimal part is 0.33.

Converting Decimals to Fractions

To convert a decimal to a fraction:

Write the decimal number as a fraction with 1 as the denominator
Multiply both the numerator and denominator by a power of 10 to remove the decimal point
Simplify the fraction if possible

Did You Know?

Every terminating decimal can be written as a fraction where the denominator is a power of 10 or a number that only contains the prime factors 2 and 5.