Please show your work convert decimals into fractions in...

Please show your work. Convert decimals into fractions in simplest form. Write each decimal as a fraction in simplest form and explain how you got your answer. 1. 0.5 = 1/2 2. 0.7 = 7/10 3. 0.33 = 33/100 4. 0.875 = 7/8 Mr. Ravenhead's car averages 23.75 miles per gallon. Express this amount as a mixed number in simplest form and explain how you got the answer. 5. 23.75 = 23 3/4

Transcript

00:03 We're asked to convert each of these decimals into a fraction and then reduce those fractions.

00:09 I find the easiest way of going about this is just to think about how would we actually say this number.

00:15 Now, i know a lot of people say 0 .5, but technically this is 5 tenths when you know your place value.

00:22 So when we have a decimal, b, c, d, you know, the first decimal place is what we call tenths.

00:33 What that means is this is five tenths.

00:36 So we get five over ten.

00:39 And we know that both of those are divisible by five.

00:42 Five goes into five once.

00:43 Five goes into ten twice.

00:45 So point five would be one half as a decimal.

00:48 A lot of times, you know, when we're talking about multiplying by point five, we can just take half of the number and that's what it'll work out to be.

00:57 All right, that's going to work us through this next one as well, this one, the appropriate way of saying this would be seven -tenths.

01:03 And while both 7 and 10 do not share any common factor, so there's nothing to reduce in this case, so 7 tenths is quite literally just 7 over 10 as a fraction in reduced form.

01:18 All right.

01:19 If we go two decimal places, while we go 10ths, the next decimal place over is 100ths.

01:26 Hundreds.

01:27 All right.

01:28 So this number would be called 33 hundreds.

01:33 All right.

01:35 And 33, the only factors of 33 are 3 and 11, 1 and 33, and none of those go into 100.

01:41 So that is already a fraction in reduced terms.

01:45 All right.

01:46 The third decimal place, 10ths, hundreds.

01:50 What comes next? thousands.

01:52 A thousandths.