7 2/5 divided by 1/5

We have to turn the first set of numbers (7 2/5) into an inproper fraction first.

To do this, we multiply 7 (first number) times the bottom number, add the top number to that, and put the answer over 5 (bottom number).

 

$$7\frac{2}{5} = \frac{7\times5+2}{5} = \frac{35+2}{5} = \frac{37}{5}$$

 

Now we have:

 

$$\frac{37}{5} \div \frac{1}{5}$$

 

Remember SKIP, CHANGE, FLIP. When we divide two fractions, we SKIP the first fraction, CHANGE the division to a multiplication sign, and FLIP the second fraction. Now we get:

 

$$\frac{37}{5}\times\frac{5}{1}$$

 

And now we multiply the top numbers together, then multiply the bottom numbers together.

 

$$\frac{37\times5}{5}$$

 

$$\frac{185}{5}$$

 

And now simplify the fraction by dividing teh top and bottom by 5.

 

$$\frac{185\div5}{5\div5}$$

 

$$\frac{37}{1}$$

 

which is really....

 

$$37$$