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## MAP Recommended Practice

### Unit 41: Lesson 45

Writing decimals as fractions# Rewriting decimals as fractions: 0.8

CCSS.Math:

Sal converts 0.8 to a fraction. Created by Sal Khan.

## Want to join the conversation?

- convert decimal to fractions .527(3 votes)
- 527/1000

because the numbers to the right of the decimal reach the thousandths place, the number to the right of the decimal is over 1000(7 votes)

- How would covert 0.28 into a fraction?(4 votes)
- 0.28 is equal to 28/100. sense 8 is in the hundreds place.

Then you simply simplify the answer! (If it can be simplified)

28/100 = 14/50 because 28 divided by 2 is 14, and 100 divided by 2 = 50.

14/50 = 7/25 beause 14 divided by 2 = 7, and 50 divided by 2 = 25.

7 and 25 don't have anything in common, so 7/25 is as simple as it gets.

0.28 = 7/25, or 28/100.(2 votes)

- if we do this opposite <means> for example 6/10 so how(4 votes)
- 6/10 would be 0.6

0.6 is 6 tenths, a way to remember how to figure it out is to say it. If you see 6/10 you would say "six over ten" or "six tenths". If you see 0.6, the six is in the tenths place and you would say "six tenths".

This also works for hundredths. 26/100 = 0.26. 26/100 "twenty-six over a hundred" or "twenty six hundredths". For 0.26, "6" is in the hundreths place, "2" is in the tenths place, but if you read it as "26" together you would read it as being in the hundredths place "twenty-six hundredths".

Hope this helps :-)(2 votes)

- it doesn't make sense how it's the same number(3 votes)
- A
**number**is simply something representing*how much*of something we have.

There are different ways of writing numbers, and we give different names to different things.

A fraction is a number written as a part-to-whole relationship, with a numerator (top part) and a denominator (bottom part).

A decimal is written in our standard base-10 number style, with numbers after the decimal representing fractions of the whole.

If you have a rational decimal that doesn't go on for ever, then the easiest way to solve for it is by multiplying by 10 in the denominator and numerator until we get a whole number in the numerator.

Enough talk, let's get through some examples!

The decimal 0.8 can be written as 0.8/1 because anything divided by 1 is equal to itself.

Step 1: 0.8 / 1

Step 2: 0.8 = 0.8/1 = (0.8 * 10) / (1 * 10) // we can multiply the numerator and denominator by the same number and the value of our fraction won't change

Step 3: 0.8 = 0.8/1 = (0.8 * 10) = (1 * 10) = 8/10 // multiply out

Step 4: 8/10 = 4/5 // simplify fraction

So, how can we test that these numbers are the same? Well we can divide them of course!

4 divided by 5 = 0.8 (try it out on paper, and verify on a calculator!).

Hope this helps,

- Convenient Colleague(3 votes)

- The icon on this video never turns blue. It always remains incomplete as if you never watched it even when you watch it all the way through.(3 votes)
- oh that does that sometimes you just have to refresh the page after your done watching all of the video and it will be blue(2 votes)

- Is this statement at0:18always true?(3 votes)
- what is decimal(3 votes)
- what's the decimal for 1/2(2 votes)
- 0.5 is the decimal for 1/2 hope this helps(3 votes)

- is it possible to write 1/5 as a decimal(1 vote)
- Yup, you divide 1.00 by 5 to get - 0.20(2 votes)

- how do you convert a fraction to a percent and then round two digits to the right of the decimal?(1 vote)
- You need to remember that a fraction is really just a division problem. Divide the numerator by the denominator, and you will get the decimal equivalent to your original fraction. For example, 1/2 is the same as 1 divided by 2, which is 0.5. See, they're all different ways of saying the same thing. 1/2 = 1 divided by 2 = 0.5. This works with all fractions. Once you have it in decimal form, it's easy to change into a percent. All percent means is: how many hundredths ? The hundredths place is second after the decimal point. So 0.05 would be five one-hundredths, or 5%. 0.35 would be thirty-five one-hundredths, or 35 % As for the rounding, the rule is simple: go one place value less then what you want to round to, and round up or down, whichever one is appropriate. In your case, you wanted to round to the second place value to the right of the decimal; So just go to the third place past the decimal and round up or down, whichever one is appropriate. So 0.062 would be rounded down to 0.06, because 0.002 is closer 0.06 than 0.07.

There are of course shortcuts for certain fractions, and I encourage you to explore this more.(2 votes)

## Video transcript

Let's write 0.8 as a fraction. So 0.8, the 8 right over
here is in the tenths place. It is the tenths place. So you could read
this as 8 tenths. And we can write that literally
as being equal to 8 tenths, or 8 over 10. And now we've already written it
as a fraction, and if we want, we can simplify this down. Both 8 and 10 share
common factors. They are both divisible by 2. So lets divide both the
numerator and the denominator by 2. We are not changing the
value of the fraction because we are dividing both the
numerator and the denominator by the same thing. 8 divided by 2 is 4, 10 divided
by 2 is 5, and we're done. 0.8 is the same thing as 8/10,
which is the same thing as 4/5.