Subject: Equivalent fractions
please explain to us how to find the answer to this problem, we need three fractions that name the same amount as 2Hi,
Look at an example of two equivalent fractions first.
are equivalent fractions. To see this, look at the second fraction, 10/15, and divide the numerator and denominator by 5. You get the first fraction. I could also see the equivalence in the other direction. That is start with the first fraction, 2/3, and MULTIPLY the numerator and denomintor by 5 to get the second fraction. The important point is that if you multiply or divide the numerator and denominator of a fraction by the same amount, you get an equivalent fraction.
For your problem think of the number 2 as the fraction 2/1. Now multiply the numerator and denominator by the same amount, say 3. This gives the equivalent fraction 6/3.
Just one more point. Above I should have said "if you multiply or divide the numerator and denominator of a fraction by the same NON-ZERO amount you get an equivalent fraction". If you multiply the numerator and denominator by zero you get 0/0 which is a meaningless quantity.Cheers,