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## Class 7 (Foundation)

### Course: Class 7 (Foundation)>Unit 5

Lesson 1: Equivalent fractions

# Equivalent fractions

Learn how to write equivalent fractions. Created by Sal Khan.

## Want to join the conversation?

• what will i add to make 5/8 to make it equal to 1?
• Yes, 1/2, ,2/4, and 4/8 are all equal because if they are all one half, then they are equal.
• What is the numerator?
• The top number is the numerator
The bottom number is the denominator
• what country came up with the word fraction?and what does it mean in there country or city?
• By now you have probably found out already, but here you go. The earliest evidence of using fractions dates back to ancient Egypt and ancient Greece.

However, the English word "fraction" is based on the Latin (the language of the ancient Romans) word "fractus", which literally means "broken". This is surely related to other English words such as fracture, fractured etc.

Language evolves in a very gradual way, over decades and centuries. Sometimes it's possible to say with accuracy where a word comes from and who supposedly first used it, but usually the best you can do is say what roots the word stems from, like in this case. It's very hard to say at what point in time the word "fraction" crept into English with its mathematical significance.
• I am pretty sure that example confused many people, they are like, how 3:5 X 1 = 21/35 ? because anything X 1 is the same thing but the result is different, how can that be....?
• "anything X 1 is the same thing", and in fact you are right : )

Although 3/5 and 21/35 use different numbers, they represent the same QUANTITY. For example 10/5 and 50/25, are two ways to represent the exact same quantity (i just multiplied 10/5 five times).

So although it seems that it doesn't make sense (and anyway i think you'll never fine yourself doing it), you could write: 3/5 x 1 = 9/15, or 3/5 x 1 = 12/20, or 3/5 x 1 = 21/35: because all those different fractions are still the same quantity of 3/5! (9/15 is 3/5 x 3, 12/20 is 3/5 x 4, 21/35 is 3/5 x 7)

It's more of a "metaphor" that actual math anyway, if you don't want to confuse yourself just write 3/5 x 7 and don't start wondering about 7/7 or 1s or whatever : )
• so an Equivalent fraction is something that is a same thing as the other one but made in a different way
• Yes. Equivalent fractions are interchangeable in every way, so they are a useful way of simplifying equations. The fraction 1/5 is equivalent to the fraction 12589/62945, but it's much easier to use!
• what is equivalent to 4 2/3?
• There is a mixed number and infinite improper fractions that are equivalent to 4 2/3.
The mixed number is 14/3. Some examples of equivalent improper fractions are 4 4/6, 4 6/9, and 4 8/12.
Hope this helps!
• what is an equivalent fraction?
• An equivalent fraction is a fraction that is the same as another fraction with a different denominator