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## Arithmetic (all content)

### Course: Arithmetic (all content)>Unit 5

Lesson 3: Fractions on the number line

# Fractions on a number line

Together, we'll explore how to represent fractions on a number line. We'll review dividing a whole, like a circle, into equal parts and selecting a fraction. Then, we'll apply this concept to a number line, dividing the interval between 0 and 1 into equal sections and labeling fractions. We'll emphasize that fractions are numbers that can be plotted on a number line, not just parts of shapes. Created by Sal Khan.

## Want to join the conversation?

• You probably see fractions like 2/10, but the 2/10 respresents a part of a whole.

Imagine this...

You have a big pizza. Someone cuts it into 10 pieces. Your friend eats 2 of those pieces. So, your friend ate 2 out of 10 pieces of pizza.
• What happens if the numerator is at 0? like, 0/6? How do you put it in the number line?
• Yes i can.
so now as you say 10/5
it is an improper fraction AS THE NUMERATOR (10) is GREATER THAN THE DENOMINATOR (5). it means this fraction is greater then 1, now if we divide 10 by 5 we get 2 as quotient and no remainder, which means 10/5 is 2. now if u wanna put these fractions on the number line. u need to put the number from 0 to 3 on the number line (only for this fraction) and as the denominator is 5, the distance between 2 numbers, for eg. 0 and 1 must have 5 parts, so we need to make 3 whole numbers on number line with 5 parts between all the numbers. so now we have 3*5 = 15 parts total, as we have numerator 10 we need to mark first 10 parts, and then u get the answer, which is 2 or 10/5

I hope it helps

Nuclear Studios
• how do you mark oversized fractions on a number line like 15/5
• Since we're working with fifths - 1/5 or one fifth part of one whole- (5/5 would be a whole or 1) we can write out a number line, say, up to 3 with each number being a whole. Like this < 0 - - - - 1 - - - - 2 - - - - 3 >. Then we can cut up each space between each whole into five equal parts. Each part is 1/5 of each one whole. If we count up the fifths, up to fifteen fifths or 15/5, we get up to 3 on the line. This makes sense if you think about fifteen fifths, or 15/5 being 15 divided by 5, which is of course 3. Or as having 15 slices of pie. If 5 slices make one pie, then 15 slices is enough to put together 3 whole pies.
• Relax dude its just math dude
• .-. Math is fine
• How will I put 1/2 on a number line?
Is it the same as 1/5?
• You put a fraction on the number line the same way you would put a whole number or decimal. 1/2 is the same as 0.5 which means it's gonna go halfway between 0 and 1.

1/5 is 0.2 so it goes between 0.1 and 0.3 and therefore not the same as 1/2
• How would you find 7/36 on a number line where 1 = 19/19
• That’s actually a really good question! Ok you know how on a number line, if you divide it into 2s, you get 1/2 and 2/2 or 1? Well, the same thing applies here, 1/2 is essentially the same thing as 2/4. So on a number line that’s only cut up into 19 pieces, you could cut the 19 pieces even further and make it 38 pieces, 2 times bigger than 19. The number line doesn’t add any extra integers, just detailing it a bit more.
But I know your question is asking something slightly different so in order to find 7/36 in 19/19 or 1, you would get rid of the 19/19 number line and draw a number line that is divided into 36 pieces. Hope this answered your question!
• But I don't get it? Alina I still don't get it