- #1

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- Homework Statement
- I am trying to simplify ##\frac {2}{\frac{5}{3}}##.

- Relevant Equations
- Please see below

My first method to simplify the fraction is to to I flip ##\frac{5}{3}## up I get ##2 \times \frac{3}{5} = \frac{6}{5}##

Method 3: I could use it multiply ##\frac{3}{3}## since this is the same as mutlipying by ##1##. ##\frac{2}{\frac{5}{3}} \times \frac{3}{3}## so the ##3## cancels giving ##\frac{6}{5}##

I know the method in bold gives the wrong answer. However, why dose it not work?

Many thanks!

**Method 2: if I flip 3 up I get ##\frac{2}{5} \times \frac{1}{3} = \frac{2}{15}##**.Method 3: I could use it multiply ##\frac{3}{3}## since this is the same as mutlipying by ##1##. ##\frac{2}{\frac{5}{3}} \times \frac{3}{3}## so the ##3## cancels giving ##\frac{6}{5}##

I know the method in bold gives the wrong answer. However, why dose it not work?

Many thanks!