33.3% into a fraction and a decimal

English · Middle School · Tue Nov 03 2020

Answered on

Given:

33%

Determine its value in decimal and fraction.

Solution:

In order to convert a percentage in fraction, we must convert it first into decimal.

In converting a percentage into decimal, divide the percentage by 100, hence in converting a decimal to percentage, multiply the percentage by 100.

= 33 / 100

Decimal value = .33

Now that we have the decimal value, we can convert the decimal into a fraction by determining the least place value of the decimal, in our case the least place value is hundredths therefore we will divide by 100. If the least place value is thousandths, we divide by 1000, ten thousandths, then we divide by 10,000 and so on. The numerator will be the value of the decimal as a whole number, and the denominator will be 100.

= 33/100

We cannot simplify the given decimal further.

Final answer:

Decimal value = .33

Fraction = 33/100

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