About this video
The video writes 0.36 as a fraction. It reads 0.36 as 36 hundredths, writes 36/100, then divides the numerator and denominator by 4 to simplify to 9/25.
You'll be able to
- read a decimal like 0.36 as a number of hundredths.
- write a hundredths decimal as a fraction over 100.
- simplify a fraction by dividing by a common factor.
Key words
- hundredths place
- The second place after the decimal point; it tells how many hundredths.
- common factor
- A number that divides evenly into two numbers, like 4 for 36 and 100.
- simplified form
- A fraction where the top and bottom share no common factors except 1.
Transcript
Let's see if we can write 0.36 as a fraction. There are several ways of doing it. The way I like to do it is to say, well, 0.36, this is the same thing as 36 hundredths. Or one way to think about it is this is in the hundredths place. This is in the tens place, or you could view this as 30 hundredths.
You could view this as 3 tens, or 30 hundredths. So we could say that this is the same thing as 36 hundredths, or this is equal to 36/100. And we've already expressed it as a fraction, but now we could actually simplify it because both 36 and 100 have some common factors.
They're both divisible by, well, looks like they're both divisible by 4. So if we could divide the numerator by 4 and the denominator by 4, we're doing the same thing to both. So we're not changing the value of the fraction. 36 divided by 4 is 9, and then 100 divided by 4 is 25.
And now these two characters don't seem to share any other common factors. And so we've written it in simplified form, and we're done.
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