# Transformation of decimal numbers to decimal fractions

Note the following decimal numbers:

• 0.8 (reads "eight tenths"), ie .

• 0.65 (reads "sixty five hundredths"), ie .

• 5.36 (reads "five hundred and thirty six hundredths"), ie .

• 0.047 (reads "forty seven thousandths"), ie

Then check that:

Like this:

 A decimal number is equal to the fraction obtained by writing to numerator the number without comma and giving denominator the unit followed by as many zeros as the decimal places.

## Transformation of decimal fraction to decimal number

Note the following equality between decimal fractions and decimal numbers:

We can then conclude that:

 To convert a decimal fraction to a decimal number, simply give the numerator as many decimal places as the denominator zeros.
Next: Equivalent Decimals, Decimal Comparison