Converting a Fraction into a Decimal Number or a Percentage | Elementary

To convert a fraction into a decimal number, it is important to understand place value and the parts that make up fractions and decimal numbers.

Read the concept sheets Place Value, Fractions, and Decimal Numbers to learn more.

The numerator of the fraction |6| tenths |\left(\dfrac{6}{10}\right)| becomes the tenths in a decimal number. So, I write |6| in the tenths place and |0| in the ones position.

The numerator of the fraction |83| hundredths |\left(\dfrac{83}{100}\right)| becomes the hundredths in a decimal number. So, we write |3| in the hundredths position, |8| in the tenths position, and |0| in the ones position.

The numerator of the fraction |47| thousandths |\left(\dfrac{47}{1\ 000}\right)| becomes the thousandths in a decimal number. So, we write |7| in the thousandths position, |4| in the hundredths position, |0| in the tenths position, and |0| in the ones position.

If the numerator of the fraction is greater than the denominator, you have to convert the fraction into a mixed number, then convert the mixed number into a decimal number.

Read the concept sheet about mixed numbers to learn how to convert fractions into mixed numbers .

Review the How Is a Mixed Number Converted Into a Decimal Number? section to learn how to convert mixed numbers into decimal numbers.

I have to follow these steps to convert a fraction into a decimal number when it is not out of ten, a hundred, or a thousand.

1. I convert the fraction to obtain an equivalent fraction out of ten, a hundred, or a thousand.

2. I write |0| in the integer part of the decimal number.

3. I convert the new fraction into a decimal number.

Convert the fraction |\dfrac{2}{5}| into a decimal number.

I convert the fraction to obtain an equivalent fraction out of ten, a hundred, or a thousand. I can read the Equivalent Fractions concept sheet to learn how. Convert |\dfrac{2}{5}| into a fraction out of ten. The result is |\dfrac{4}{10}.|
I write |0| in the integer part of the decimal number.
I convert the new fraction into a decimal number. The numerator of the fraction |4| tenths |\left(\dfrac{4}{10}\right)| becomes the tenths part in the decimal number. I can read the Decimal Numbers concept sheet to learn how to write decimal numbers.

|\dfrac{2}{5}| can be converted into |0.4.|

To convert a mixed number into a decimal number, it is important to understand place value and the parts that make up mixed numbers and decimal numbers.

Read the concept sheets about place value, fractions, and decimal numbers to learn more.

The fraction of the mixed number |8| and |6| tenths |\left(8\ \dfrac{6}{10}\right)| is out of ten. Its numerator becomes the tenths in a decimal number. Therefore, I write |6| in the tenths position and |8| in the ones position.

The fraction of the mixed number |3| and |3| hundredths |\left(3\ \dfrac{83}{100}\right)| is out of a hundred. Its numerator becomes the hundredths in a decimal number. So, we write |3| in the hundredths place, |8| in the tenths place, and |3| in the ones position.

The fraction of the mixed number |6| and |47| thousandths |\left(6\ \dfrac{47}{1\ 000}\right)| is out of a thousand. Its numerator becomes the thousandths in a decimal number. So, I write |7| in the thousandths position, |4| in the hundredths position, |0| in the tenths position, and |6| in the ones position.

I have to follow these steps to convert a mixed number into a decimal number when its fraction is not out of ten, a hundred, or a thousand.

1. I convert the fraction to obtain an equivalent fraction out of ten, a hundred, or a thousand.

2. I write the integer of the mixed number as the integer of the decimal number.

3. I write the numerator of the new fraction in the decimal part of the decimal number.

Convert the mixed number |\left(2\ \dfrac{16}{25}\right)| into a decimal number.

I convert the fraction to obtain an equivalent fraction out of ten, a hundred, or a thousand. I can read the Equivalent Fractions concept sheet to learn how. I convert |\dfrac{16}{25}| into a fraction out of a hundred. The result is the fraction |\dfrac{64}{100}.|
I write the integer of the mixed number as the integer of the decimal number.
I write the numerator of the new fraction in the decimal part of the decimal number. The fraction |64| hundredths |\left(\dfrac{64}{100}\right)| can be converted into hundredths in the decimal number.

|2\ \dfrac{16}{25}| can be converted into |2.64.|

The fraction |78| hundredths |\left(\dfrac{78}{100}\right)| can be converted into |78| percent |\left(78\ \%\right).|

||\dfrac{78}{100}=78\ \%||

I have to follow these steps to convert a fraction into a percentage.

1. I convert the fraction to obtain an equivalent fraction out of a hundred.

2. I convert the new fraction into a percentage.

Convert the fraction |\dfrac{15}{20}| into a percentage.

I convert the fraction to obtain an equivalent fraction out of a hundred. I can read the Equivalent Fractions concept sheet to learn how. The result is |\dfrac{75}{100}.|
I convert the new fraction into a percentage.	|\dfrac{75}{100}=75\ \%|

|\dfrac{15}{20}| can be converted into |75\ \%.|