Convert Between Fraction and Decimal Forms (Tenths and Hundredths)

A fraction and a decimal can mean the same number. Let's learn how to switch between them.

Here's our fraction: forty-seven over one hundred. It means forty-seven equal pieces out of one hundred.

We read this as 'forty-seven hundredths.' That word — hundredths — is our biggest clue.

Look at the denominator, one hundred. It has two zeros — so the decimal will need two digits after the point.

Start by writing zero point. That dot separates whole numbers from parts of a whole.

Now write four-seven, the same digits as the numerator. We've made zero point four seven.

So forty-seven hundredths equals zero point four seven. Same number, two ways to write it.

Money makes it click! Forty-seven cents is forty-seven hundredths of a dollar — written as zero point four seven dollars.

Now let's try a tenths example. Here's three tenths.

Ten has only one zero, so we use just one decimal place: zero point three.

Count the zeros in the denominator — that's how many decimal places you need. You've got it!